Question

x is a positive number if and only if x > 0?

Answer 1

Step-by-step explanation:

I'm trying to work on an exercise from a book which asked to prove the above question.

It seems fairly trivial although I cannot be sure if my attempt suffices.

To prove that the number x is positive if x>0: By the order axiom, for all x in the positive real number implies x>0.

To prove that the number x is positive only if x>0: x>0 implies x is an element in the positive real number

And so the proof is done.

Answer 2

Answer:

this statement is true.

thanks