I is the set of integers. Describe the following relations in words, giving its domain and range. -Maths 9th

I is the set of integers. Describe the following relations in words, giving its domain and range. -Maths 9th
by

1 Answer

Answer :

R = {(0, 0), (1, – 1), (2, – 2), (3, – 3) ...} = {(x, y) : y = – x, x ∈ W} Domain = {0, 1, 2, 3, ....} = W, Range = {...,– 3, – 2, – 1, 0}
by

Related questions

Let N be the set of natural numbers. Describe the following relation in words giving its domain -Maths 9th

Description : Let N be the set of natural numbers. Describe the following relation in words giving its domain -Maths 9th

Last Answer : The given relation stated in words is R = {(x, y) : x is the fourth power of y; x ∈ N, y ∈ {1, 2, 3, 4}}.

Determine the domain and range of the following relations: (i) {(–3, 1), (–1, 1), (1, 0), (3, 0)} -Maths 9th

Description : Determine the domain and range of the following relations: (i) {(–3, 1), (–1, 1), (1, 0), (3, 0)} -Maths 9th

Last Answer : (i) Domain = {-3, -1, 1, 3}, Range = {0, 1} (ii) Domain = {x : x is a multiple of 3} = {3n : n ∈ Z} Range = {y : y is a multiple of 5} = {5n : n ∈ Z} (iii) Relation = {(x, x2) : x is a prime number ... (7, 49), (11, 121), (13, 169)} Domain = {2, 3, 5, 7, 11, 13}, Range = {4, 9, 25, 49, 121, 169}

Given A = {–2, –1, 0, 1, 2}, which of the following relations on A have both domain and range equal to A? -Maths 9th

Description : Given A = {–2, –1, 0, 1, 2}, which of the following relations on A have both domain and range equal to A? -Maths 9th

Last Answer : (d) (i) and (iii)Let us examine the domain and range of the each relation individually: (i) R : is equal to means R = {(a, b) : a = b, a ∈ A, b ∈A} ∴ R = {(-2, -2), (-1, -1), (0, 0), (1, ... = {-2, -1, 0, 1} and range = {-1, 0, 1, 2}. ∴ Relations given in (i) and (iii) satisfy the given condition.

Let R be a relation on the set of integers given by a = 2^k .b for some integer k. Then R is -Maths 9th

Description : Let R be a relation on the set of integers given by a = 2^k .b for some integer k. Then R is -Maths 9th

Last Answer : (c) equivalence relationGiven, a R b = a = 2k .b for some integer. Reflexive: a R a ⇒ a = 20.a for k = 0 (an integer). True Symmetric: a R b ⇒ a = 2k b ⇒ b = 2-k . a ⇒ b R a as k, -k are both ... = 2k1 + k2 c, k1 + k2 is an integer. ∴ a R b, b R c ⇒ a R c True ∴ R is an equivalence relation.

Define the term of Domain, codomain and range of a relation: -Maths 9th

Description : Define the term of Domain, codomain and range of a relation: -Maths 9th

Last Answer : Let R be a relation from set A to set B. Then, the set of first element of the ordered pairs in R is called the domain and the set of second elements of the ordered pairs in R is called the range. The second set B is called ... 16, 25, 36}, Range of R = {4, 5, 6} and Codomain of R = {1, 4, 5, 6}.

If R is a relation on a finite set A having n elements, then the number of relations on A is -Maths 9th

Description : If R is a relation on a finite set A having n elements, then the number of relations on A is -Maths 9th

Last Answer : (d) \(2^{n^2}\)Set A has n elements ⇒ n(A) = n ⇒ A × A has n × n = n2 elements ∴ Number of relations on A = Number of subsets of A × A = \(2^{n^2}\)

The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Description : The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Last Answer : Value of 1.999 is given below .

The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Description : The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Last Answer : Value of 1.999 is given below .

How many integers are there between two successive interesting? -Maths 9th

Description : How many integers are there between two successive interesting? -Maths 9th

Last Answer : No integers are there between two successive integers

Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Description : Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Last Answer : Let x = 0.7Bar ⇒ x = 0.777.......... .........(1) Multiplying (1) by 10 ⇒ 10x = 7.7...... = 7.777 ...........(2) Subtracting (1) from (2) ⇒ 10x - x = 9x ⇒ 7.777 - 0.777 = 7 ... and then solving it, we get. ⇒ (594 + 770 + 470)/990 ⇒ 1834/990 ⇒ 917/495 Hence, 0.6 + 0.7Bar + 0.47Bar = 917/495

How many integers are there between two successive interesting? -Maths 9th

Description : How many integers are there between two successive interesting? -Maths 9th

Last Answer : This answer was deleted by our moderators...

Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Description : Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Last Answer : Let x=0.666....... (1) Multiply equation (1 by 10 10x = 6.666....... (2) Subtract equation (1) from (2) x=6/9 Similarly 0.7bar =7/9 and 0.47bar = 47/99. 6/9+7/9+47/99=190/99

Express 0.6 in the form p/q, where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express 0.6 in the form p/q, where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Let x = 0.6 recurring Then, x = 0.666..... ....(i) implies 10x = 6.666........ .....(ii) Substracting (i) from (ii),we get 9x = 6 implies x = 6/9 implies x = 2/3

Express 0.00323232... in the form p/q, where p and q are integers and q is not equals 0. -Maths 9th

Description : Express 0.00323232... in the form p/q, where p and q are integers and q is not equals 0. -Maths 9th

Last Answer : Solution :-

Express 0.35777... in the form p/q,where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express 0.35777... in the form p/q,where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Solution :-

Express:2.0151515... in the p/q form, where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express:2.0151515... in the p/q form, where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Solution :-

An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th

Description : An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th

Last Answer : As there are 200 integers, total number of exhaustive, mutually exclusive and equally likely cases, i.e, n(S) = 200 Let A : Event of integer chosen from 1 to 200 being divisible by 6⇒ n(A) = 33 \(\bigg(rac{200}{6}=33rac{1}{3}\ ... (rac{25}{200}\) - \(rac{8}{200}\) = \(rac{50}{200}\) = \(rac{1}{4}\).

If a, b, c are distinct positive integers, then ax^(b–c) + bx^(c–a) + cx^(a–b) is -Maths 9th

Description : If a, b, c are distinct positive integers, then ax^(b–c) + bx^(c–a) + cx^(a–b) is -Maths 9th

Last Answer : answer:

If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Description : If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Last Answer : Let the roots of the equation x3 – ax2 + bx – c = 0 be (α – 1), α, (α + 1) ∴ S2 = (α – 1)α + α(α + 1) + (α + 1) ( ... ; 1 = b ⇒ 3α2 – 1 = b ∴ Minimum value of b = – 1, when α = 0.

Let ABCD be a parallellogram. Let m and n be positive integers such that n < m < 2n. Let AC = 2 mn -Maths 9th

Description : Let ABCD be a parallellogram. Let m and n be positive integers such that n < m < 2n. Let AC = 2 mn -Maths 9th

Last Answer : answer:

If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th

Description : If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th

Last Answer : (d) 226 × 52C26 | 104C26Since there are 52 distinct cards in a deck and each distinct card is 2 in number.∴2 decks will also contain only 52 distinct cards, two each.∴ Probability that the player gets all distinct cards = \(rac{^{52}C_{26} imes2^{26}}{^{104}C_{26}}\).

Define the types of relations and their examples. -Maths 9th

Description : Define the types of relations and their examples. -Maths 9th

Last Answer : There are various types of relations:Let A be a non-empty set. Then, a relation R on A is said to be Reflexive if (a, a) ∈ R for each a ∈ A, i.e., if a R a for each a ∈ A. For example, the relation is as strong as is reflexive ... a || b ⇒ b || a a || b, b || c ⇒ a || c.

Let A = {a, b, c, d} and B = {x, y, z}. Which of the following are relations from A to B ? -Maths 9th

Description : Let A = {a, b, c, d} and B = {x, y, z}. Which of the following are relations from A to B ? -Maths 9th

Last Answer : (i) Yes. (ii) No, because in the ordered pair (a, d), a ∈ A and d ∉ B. (iii) No, because in (y, d), y ∈ B. (iv) No. because here the first entries in all the ordered pairs are in ... ) No, because the element z is not an ordered pair. (vii) No, because the elements of the set are not ordered pairs.

Write ‘yes’ if each of the following relations is an equivalence relation. -Maths 9th

Description : Write ‘yes’ if each of the following relations is an equivalence relation. -Maths 9th

Last Answer : (i) is parallel to' is reflexive, because any line is parallel to itself. Symmetric, because if line l is parallel to line m, then line m is parallel to line l. Transitive, because if l || m ... y cannot be a factor of x. (v) No, because the relation is reflexive and transitive but not symmetric.

Which of the following are relations from B to A where A = {a, b, c, d} and B = {x, y, z}? -Maths 9th

Description : Which of the following are relations from B to A where A = {a, b, c, d} and B = {x, y, z}? -Maths 9th

Last Answer : (c) (i), (ii) and (iv)The set of ordered pairs {(b, y), (z, a), (x, c)} does not state a relation from B to A as the ordered pair (b, y) has the first element ‘b’ from set A, whereas it should be from set B.

If n(A) = 5 and n(B) = 7, then the number of relations on A × B is -Maths 9th

Description : If n(A) = 5 and n(B) = 7, then the number of relations on A × B is -Maths 9th

Last Answer : (b) 235n(A) = 5 and n(B) = 7 ∴ n(A × B) = 5 × 7 = 35 Total number of relations from A to B = Total number of subsets of (A × B) = 235.

Which of the following relations is only symmetric? -Maths 9th

Description : Which of the following relations is only symmetric? -Maths 9th

Last Answer : (c) “is perpendicular to” on a set of a coplanar lines(a) Let a, b, c ∈ A where A is a set of real numbers. Then R = {(a, b) : a ≤ b, a, b ∈ A} is : Reflexive: a ≤ a ⇒ (a, a) ∈ R (Yes) Symmetric: a ≤ b ⇒ (a, b) ∈ R, but a ≤ b ⇒ a < b or a = b ⇒ b = a but b \( ot

Consider the following relations R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; -Maths 9th

Description : Consider the following relations R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; -Maths 9th

Last Answer : (c) S is an equivalence relation but R is not an equivalence relationR = {(x, y) | x, y ∈ R, x = wy, w is a rational number} Reflexive: x R x ⇒ x = wx ⇒ w = 1, (a rational number) Hence R is reflexive. Symmetric ... \(rac{r}{s}\) ⇒ \(rac{m}{n}\) S \(rac{r}{s}\) (True)∴ S is an equivalence relation.

Let A = {2, 3, 5, 6}. Then, which of the following relations is transitive only? -Maths 9th

Description : Let A = {2, 3, 5, 6}. Then, which of the following relations is transitive only? -Maths 9th

Last Answer : (d) R = {(2, 3), (3, 5), (2, 5)}.

Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Description : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Last Answer : Given : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in the fig. These pieces are arranged ... length of coloured tape required = 30 cm (b) The values are : Happiness, beauty, Knowledge.

Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm. He wants to decorate the card by putting up a colored tape on the non-parallel sides of the trapezium.. -Maths 9th

Description : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that ... the card by putting up a colored tape on the non-parallel sides of the trapezium.. -Maths 9th

Last Answer : Let us consider the following lay out of the greeting card. Trapeziums are arranged in such a way that AB || HC || GD || FE. Also BC=CD=DE and GF=6 cm and DE = 4cm. If three parallel lines make equal ... HG+GF+BC+CD+DE = 6+6+6+4+4+4=30 cm. (b) The values are: Happiness, beauty, Knowledge.

Which instruction are arranged as per the protocols of memory reference format of the input file in a simple ASCII sequence of integers between the range O to 99 separated by spaces without formatted text and symbols: a. Memory reference instruction b. Memory reference format c. Both d. None of these

Description : Which instruction are arranged as per the protocols of memory reference format of the input file in a simple ASCII sequence of integers between the range O to 99 separated by spaces without formatted text ... : a. Memory reference instruction b. Memory reference format c. Both d. None of these

Last Answer : a. Memory reference instruction

In modulo-11 arithmetic, we use only the integers inthe range ______, inclusive. A) 1to 10 B) 1to 11C) 0to 10 D) none of the above

Description : In modulo-11 arithmetic, we use only the integers inthe range ______, inclusive. A) 1to 10 B) 1to 11 C) 0to 10 D) none of the above

Last Answer : 0to 10

Which of the following algorithms sort n integers, having the range 0 to (n2 -1), in ascending order in O(n) time ? (A) Selection sort (B) Bubble sort (C) Radix sort (D) Insertion sort

Description : Which of the following algorithms sort n integers, having the range 0 to (n2 -1), in ascending order in O(n) time ? (A) Selection sort (B) Bubble sort (C) Radix sort (D) Insertion sort

Last Answer : (C) Radix sort

Generally an adolescent is full of anxiety, anger and tension. How would you sublimate his stress and strain? Options: A) Through friendly relations, sharing his private life and giving due emotional comforts B) Through repressing measures C) Through rejection and leave him in isolation D) By making a mockery as a philosopher

Description : Generally an adolescent is full of anxiety, anger and tension. How would you sublimate his stress and strain? Options: A) Through friendly relations, sharing his private life and giving due emotional ... C) Through rejection and leave him in isolation D) By making a mockery as a philosopher

Last Answer : A) Through friendly relations, sharing his private life and giving due emotional comforts

Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Description : Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Last Answer : Here, the minimum and maximum values of given data are 6 and 32 respectively. Range = 32 – 6 = 26

Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Description : Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Last Answer : Here, the minimum and maximum values of given data are 6 and 32 respectively. Range = 32 – 6 = 26

The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Description : The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Last Answer : In conclusion, the range of data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, and 20 is 26.

The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Description : The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Last Answer : (d) In a given data, maximum value = 32 and minimum value = 6 We know, range of the data = maximum value – minimum value = 32 – 6 = 26 Hence, the range of the given data is 26.

Find the range of values of x for which (x^2+x+1)/(x^2+2)<1/3, x being real. -Maths 9th

Description : Find the range of values of x for which (x^2+x+1)/(x^2+2)

Last Answer : answer:

Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Description : Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Last Answer : answer:

Find the range of real values of x for which (x-1)/(4x+5)<(x-3)/(4x-3). -Maths 9th

Description : Find the range of real values of x for which (x-1)/(4x+5)

Last Answer : answer:

Why is the author deeply embarrassed the next day in school? Which words show his fear and insecurity? -Maths 9th

Description : Why is the author deeply embarrassed the next day in school? Which words show his fear and insecurity? -Maths 9th

Last Answer : The author was full of remorse as he was left with nothing. He didn’t have proper dress and study material. He had no backpack. He had the feeling of insecurity. All things appeared strange to him ... going to be this way. I just wanted to curl up and die” reveal his fear and insecurity.

How many words can be formed from the letters of the word “DAUGHTER” so that the vowels always come together? -Maths 9th

Description : How many words can be formed from the letters of the word “DAUGHTER” so that the vowels always come together? -Maths 9th

Last Answer : The number of words formed from 'DAUGHTER' such that all vowels are together is 4320.

How many words can be formed from the letters of the word “SUNDAY” so that the vowels never come together? -Maths 9th

Description : How many words can be formed from the letters of the word “SUNDAY” so that the vowels never come together? -Maths 9th

Last Answer : Given: The word ‘SUNDAY’ Total number of letters in the word ‘SUNDAY’ is 6. So, number of arrangements of 6 things, taken all at a time is 6P6 = 6! = 6 ... of words using letters of ‘SUNDAY’ starting with ‘N’ and ending with ‘Y’ is 24

All the words that can be formed using the letters A, H, L, U, R are written as in a dictionary -Maths 9th

Description : All the words that can be formed using the letters A, H, L, U, R are written as in a dictionary -Maths 9th

Last Answer : No. of words starting with A are 4!=24 No. of words starting with H are 4!=24 No. of words starting with L are 4!=24 These account for 72 words Next word is RAHLU and the 74th word RAHUL.

Write a story in about 150 words on the basis of following inputs. -Maths 9th

Description : Write a story in about 150 words on the basis of following inputs. -Maths 9th

Last Answer : answer:

What are the properties of the power set of the set of all integers?

Description : What are the properties of the power set of the set of all integers?

Last Answer : answer:Do you know what a power set is? If not, see the definition. Basically, you are dealing with sets instead of numbers. Each element of the domain and codomain is either a set of integers or ... or not explained enough in this answer. If you need me to elaborate on anything here, let me know.

Which of the following is not the same set of numbers A) counting numbers (B) positive integers (C) whole numbers (D) natural numbers?

Description : Which of the following is not the same set of numbers A) counting numbers (B) positive integers (C) whole numbers (D) natural numbers?

Last Answer : C. whole numbers can be negative and don't match the other sets

Consider the following statements : `1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the set of positive integers, `Z` is the set of

Description : Consider the following statements : `1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the set of positive integers, `Z` is the set of

Last Answer : Consider the following statements : `1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the ... Both `1` and `2` D. Neither `1` nor `2`