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inequalities

inequalities

by karthik vs -
Number of replies: 1

Hi, everyone

please can anyone prove the following:

xx yy >= xy yx where x and y are natural nos.

I hav done it, but i was not satisfied with my method , so please can anyone provide me an alternative.thanks, kvs!

In reply to karthik vs

Re: inequalities

by Manoj Tirukodi Radhakrishn -

what's wrong man this one's real easy ; 2 cases arise here eitheir both are equal orĀ one being greater than the other.

without loss of generality suppose x>y the you an see that x^(x-y)>y^(x-y) hence by rearranging you have your answer