if a,b,c>0 prove that[(1+a)(1+b)(1+c)]^7>7^7a^4b^4c^4
Shivam , 9 Years ago
Grade 12th pass
Algebra> if a,b,c>0 prove that[(1+a)(1+b)(1+c)]^7>...
2 Answersmycroft holmes
Repeated application of the AM-GM inequality can be used to prove the above strict inequality. The proof is illustrated below:
mycroft holmes
I had to edit the proof above for using the wrong symbol
Repeated application of the AM-GM inequality can be used to prove the above strict inequality. The proof is illustrated below:
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