Recent content by Kzmo

1MileCrash, Thank you for your reply, but I am unable to see how this would help answer my question. I am not saying it won't. I am just unable to see. Thank you.

micromass, Than you again for your reply, and sorry for my delayed response. I understood your point that I must prove everything rigorously from the axioms and only the axioms - and I agree. With that said, I have gave it some thought, and I am not sure how to proceed with proving: If...

micromass, Than you very much for a very quick response. 0 < bd has to be true if a=0 or c=0, because it is part of the question to prove that ac < bd , and in the special case of a=0 or c=0, it should follow that 0 < bd. (Only in the specific case when a=0 or c=0.) I guess a more...

If 0 ≤ a < b and 0 ≤ c <d, then prove that ac < bd I have taken the proof approach from some previous problems in Spivak's book on Calculus (3rd edition). This is problem 5.(viii) in chapter 1: Basic Properties of Numbers. I did as follows: If a = 0 or c = 0, then ac = 0, but since...