Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+9) gt x +2` `(iv) 4-x lt sqrt(2x-x^(2))` `(

1 Answer

Answer :

Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+ ... (ix) (|x+2|-|x|)/(sqrt(8-x^(3))) ge 0`

Related questions

Description : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9

Last Answer : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) ... -5) lt 0` `(viii) |x-1|+|x-2|+|x-3| le 6`

Description : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` `(iii)log_((x-1)/(x-5))(x-2) gt 0` `(iv) log_(

Last Answer : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` ... gt 0` `(iv) log_(x)(x^(3)-x^(2)-2x) lt 3`

Description : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2` `(v)

Last Answer : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3) ... ^(2)x+sinx le 2` `(v) tan^(2)x gt 3`

Description : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Last Answer : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Description : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`

Last Answer : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`

Description : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//

Last Answer : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) ... `(iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0`

Description : Solve : `2x - 5 gt 4x - 3`

Last Answer : Solve : `2x - 5 gt 4x - 3`

Description : Solve the following rational in equalities `(i) ((x-1)(x+2))/((x-3)(x+3)) lt 0` `(ii) ((1-x)^(3)(x+2)^(4))/((x+9)^(2)(x-8))ge0` `(iii) ((x^(2)-3x+1)^(

Last Answer : Solve the following rational in equalities `(i) ((x-1)(x+2))/((x-3)(x+3)) lt 0` `(ii) ((1-x)^(3)(x+2)^(4 ... ` `(vi) 1 lt (3x^(2)-7x+8)/(x^(2)+1) le2`

Description : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.

Last Answer : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.

Description : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`

Last Answer : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`

Description : Complete set of solution of inequation `(3)/(sqrt(2-x))-sqrt(2-x) lt 2` is

Last Answer : Complete set of solution of inequation `(3)/(sqrt(2-x))-sqrt(2-x) lt 2` is A. `(-oo,1)` B. `(-oo,1]` C. `(1,oo)` D. `[1,oo)`

Description : Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

Last Answer : Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part ... `(iii) {x} lt (1)/(2)`

Description : Solve for `x` (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [2x]=1` `(ii) {x}^(2)+[x]=2` `(iii) 6{

Last Answer : Solve for `x` (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [2x]=1 ... 0` `(iv) 6{x}^(2)-5{x}-1=0`

Description : Solve the following equations `(i) sgn({[x]})=0` `(ii) sgn(x^(2)-2x-8)=-1` `(iii)sgn((x^(2)-5x+4)/({x}))=-1`

Last Answer : Solve the following equations `(i) sgn({[x]})=0` `(ii) sgn(x^(2)-2x-8)=-1` `(iii)sgn((x^(2)-5x+4)/({x}))=-1`

Description : Solve for `x` `(i) 2^(|x+1|)+2^(|x|)=6` and `x in I` `(ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2|` `(iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0`

Last Answer : Solve for `x` `(i) 2^(|x+1|)+2^(|x|)=6` and `x in I` `(ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2|` `(iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0`

Description : `int sqrt(9 -4x^(2)) dx`

Last Answer : `int sqrt(9 -4x^(2)) dx`

Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`

Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`

Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`

Description : Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 – 6xy – 4yz – 6zx) (ii) (4x -3y + 2z) (16x2 + 9y2+ 4z2 + 12xy + 6yz – 8zx) (iii) (2a – 3b – 2c) (4a2 + 9b2 + 4c2 + 6ab – 6bc + 4ca) (iv) (3x -4y + 5z) (9x2 + 16y2 + 25z2 + 12xy- 15zx + 20yz) -Maths 9th

Last Answer : answer:

Description : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta lt (pi)/(2)` `(ii) sin7theta+sin4theta+sintheta=0`, `0 le

Last Answer : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta ... iii) tantheta+sectheta=sqrt(3)`, `0 le theta le 2pi`

Description : Solve for `x : 3x + 5 gt 7`

Last Answer : Solve for `x : 3x + 5 gt 7` A. `x gt 3//2` B. `x gt 2//3` C. `x lt 3//2` D. `x lt 2//3`

Description : Check whether the following are quadratic equations: (i) (x+ 1)2=2(x-3) (ii) x - 2x = (- 2) (3-x) (iii) (x - 2) (x + 1) = (x - 1) (x + 3) (iv) (x - 3) (2x + 1) = x (x + 5) (v) (2x - 1) (x - 3) = (x ... vi) x2 + 3x + 1 = (x - 2)2 (vii) (x + 2)3 = 2x(x2 - 1) (viii) x3 -4x2 -x + 1 = (x-2)3 -Maths 10th

Last Answer : this is the correct answer!

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Description : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x

Last Answer : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` ... 2)^(2)+1` (iv) `2x^(3)-9x^(2)+12x+1`

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is ... `1` (iii)`100` (iv)`-100` A. 1 B. 0 C. 100 D. `-100`

Description : Solve log2x + 3 (6x^2 + 23x + 21) = 4 – log3x + 7 (4x^2 + 12x + 9). -Maths 9th

Last Answer : answer:

Description : `(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) dx`

Last Answer : `(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) dx`

Description : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Last Answer : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Description : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Last Answer : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Description : Solve : `8a - 7 lt (6a)/(5) + 27, a in Q`

Last Answer : Solve : `8a - 7 lt (6a)/(5) + 27, a in Q`

Description : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_(beta)alpha)))` is greater than 1. Statement-2 : `log_(c)

Last Answer : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_( ... . D. Statement -1 is false, statement -2 is ture.

Description : Solve : `2m + 5 gt 9 - 4m, m in Q`

Last Answer : Solve : `2m + 5 gt 9 - 4m, m in Q`

Description : Solve the following equations `(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)` `(iii) (log_(10)(100x))^(2)+(log_(10)(10

Last Answer : Solve the following equations `(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1 ... 1)` `(v)5^(2x)=3^(2x)+2.5^(x)+2.3^(x)`

Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`

Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`

Description : `int(1)/(sqrt(4x^(2)-x+4))dx`

Last Answer : `int(1)/(sqrt(4x^(2)-x+4))dx`

Description : `int(1dx)/((x-2)sqrt(x^(2)-4x+3) `

Last Answer : `int(1dx)/((x-2)sqrt(x^(2)-4x+3) `

Description : how do i solve 4x-9=k for x?

Last Answer : 4x-9=k4x=k+9Divide by 4 to isolate the xx=(1/4)k+(9/4)x=1/4 k+ 9/4

Description : Simplify (9-4x^ 2 +2x^ 2 +8x^ 2 +1+6x^ 2?

Last Answer : 12x^2+10

Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be e) 4x + 6y = 18 f) 4x - 6y = - 18 g) -4x – 6y = 18 h) None of these

Last Answer : f) 4x - 6y = - 18

Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be a) 4x + 6y = 18 b) 4x - 6y = - 18 c) -4x – 6y = 18 d) None of these

Last Answer : b) 4x - 6y = - 18

Description : Solve the following equations (where `[*]` dentoes greatest integer function and `{*}` represent fractional part function) `(i) 2[x]+3[x]=4x-1` `(ii)

Last Answer : Solve the following equations (where `[*]` dentoes greatest integer function and `{*}` represent fractional part function) ... }` `(iii) [x]+2{-x}=3x`

Description : Simplify: (i) (a + b + c)2 + (a – b + c)2 (ii) (a + b + c)2 – (a – b + c)2 (iii) (a + b + c)2 + (a – b + c)2 + (a + b – c)2 (iv) (2x + p – c)2 – (2x – p + c)2 (v) (x2 + y2 – z2)2 – (x2 – y2 + z2)2 -Maths 9th

Last Answer : answer:

Description : Evaluate each of the following using identities: (i) (2x –1x)2 (ii) (2x + y) (2x – y) (iii) (a2b – b2a)2 (iv) (a – 0.1) (a + 0.1) (v) (1.5.x2 – 0.3y2) (1.5x2 + 0.3y2) -Maths 9th

Last Answer : (i) (2x - 1/x)2 [Use identity: (a - b)2 = a2 + b2 - 2ab ] (2x - 1/x)2 = (2x) 2 + (1/x)2 - 2 (2x)(1/x) = 4x2 + 1/x2 - 4 (ii) (2x + y) (2x - y) [Use identity: (a - b)(a + b) = a2 - b 2 ] (2x + y) (2x - ... ) = a2 - b 2 ](1.5 x 2 - 0.3y2 ) (1.5x2 + 0.3y2 ) = (1.5 x 2 ) 2 - (0.3y2 ) 2 = 2.25 x4 - 0.09y4

Description : I have some matchsticks set up like this: I + XI = X. If you do not know Roman numerals, here is a quick starter: I=1 II=2 III=3 IV=4 V=5 VI=6 VII=7 VIII=8 IX=9 X=10 XI=11 ... are told to move the minimum number of matchsticks to make the question correct. So, how many do you have to move? -Riddles

Last Answer : Most people would get to one move at the least, but the real answer is zero moves. If you rotate the whole question around 180 degrees, it will display this: X = IX + I

Description : Express the following as pth power of qth root of x. (i) `(156)^(5/3)` (ii) `(-23)^(3/7)` (iii) `(2/3)^(3/2)` (iv) `(0.61)^(5/9)`

Last Answer : Express the following as pth power of qth root of x. (i) `(156)^(5/3)` (ii) `(-23)^(3/7)` (iii) `(2/3)^(3/2)` (iv) `(0.61)^(5/9)`

Description : What is (4x-5)and(2x+7) in simplest form?

Last Answer : Simplifying4x + -5 = 2x + 7Reorder the terms:-5 + 4x = 2x + 7Solving-5 + 4x = 7 + 2xMove all terms containing x to the left, all other terms to the right.Add '-2x' to each side of the equation.-5 + 4x + ... 52x = 7 + 5Combine like terms: 7 + 5 = 122x = 12Divide each side by '2'.x = 6 (your answer)

Description : What is the missing number of ​( ​___+​7)+​(2x-​6)=-4x+1?

Last Answer : 2x

Description : All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21

Last Answer : (d) 6x + 9y = 21

Description : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`

Last Answer : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`