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A simple inequality (Posted on 2014-12-31) Difficulty: 2 of 5
Given:
x>0, y>0, x+y=1

Prove that
(1 + 1/x)(1 + 1/y) ≥ 9.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips hint- the proof is easy- partial spoiler | Comment 2 of 4 |

Try calculus:

 Show that the LS's minimum occurs

when the (x,y)=(1/2, 1/2) .

Edited on January 1, 2015, 1:03 am
  Posted by Ady TZIDON on 2014-12-31 11:30:47

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