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If a , b , c , are positive real numbers...

If `a , b , c ,` are positive real numbers, then prove that (2004, 4M) `{(1+a)(1+b)(1+c)}^7>7^7a^4b^4c^4`

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The correct Answer is:
`rArr (1+a)^(7)(1+b)(1+c)^(7)gt7^(7)(a^(4).b^(4).c^(4))`
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