Question

how will I prove the statement:
(step by step)

If a>0, then 1/a> 0

Answer 1

a>0

divide both sides by a^2

not a^2 is not zero as a is not zero

Answer 2

a/a^2 >0
(1/a)>0

Answer 3

also remember that when you divide by a negative you should flip the inequality sign, but we are dividing by a sqaure , which must be positive, so the sign doesnt need to be flipped