Flag Algebra> if a,b,c>0 prove that[(1+a)(1+b)(1+c)]^7>...
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if a,b,c>0 prove that[(1+a)(1+b)(1+c)]^7>7^7a^4b^4c^4

Shivam , 8 Years ago
Grade 12th pass
anser 2 Answers
mycroft holmes

Last Activity: 8 Years ago

Repeated application of the AM-GM inequality can be used to prove the above strict inequality. The proof is illustrated below:
 

mycroft holmes

Last Activity: 8 Years ago

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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