If a, b, c are positive real numbers, then show that (a + 1)^7 (b + 1)^7 (c + 1)^7 > 7^7 a^4b^4c^4. -Maths 9th

If a, b, c are positive real numbers, then show that (a + 1)^7 (b + 1)^7 (c + 1)^7 > 7^7 a^4b^4c^4. -Maths 9th
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Show that 0.142857142857… = 1/7. -Maths 9th

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Last Answer : Let x = 0.142857142857 …………………..(i) On multiplying both sides of Eq. (i) by 1000000, we get 1000000 x = 142857.142857…………………………(ii) On subtracting Eq. (i) from Eq. (ii), we get 1000000 x – x = (142857.142857…) – (0.142857..) ⇒ 999999 x = 142857 ∴ x = 142857/999999 = 1/7 Hence proved.

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