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Verified Answer :

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\(\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) \\ 1+a/b+b/a + 1 \geq 4\)\(\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\)\)

distributed 

choose 1 as your lowest positive integer

plug 1 into a and b

1 + 1 + 1 + 1\(\geq 4\)

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