SOLUTION: If a>0 and b>0, a+b = t, show that {{{1/a + 1/b >= 4/t }}}

Question 1184376: If a>0 and b>0, a+b = t, show that
Found 2 solutions by Edwin McCravy, robertb:
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

If you prefer, you can reverse the steps and omit the "if and only If"'s. Edwin

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The statement follows almost immediately from the AM-HM inequality:
Since a,b > 0, then

===> .
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