Question

proove that
a + 1/a >2​

Answer 1

Answer:

What is a ?

Do you mean a+1a or a+1a ?

Ok I assume a∈Z+ and you want a+1a

Well for a=1 we have a+1a=1+11=1+1=2≥2

so it is true for a=1 . For a≥2 I am pretty much done because well ∀a,b,c∈R(a≥b⟹a+c≥b+c) .

Now:

a+1a<2⟹a<0

so it is not always true.