Recent content by Ajot

Okay, so let's focus on the first part: I agree that the definition of a bounded set E is what Petek wrote. My concern is that in the problem it wants to prove a positive r such that |x|< r. To me that seems like an upper bound. Am I not getting something here? Heres a second shot at the...

[FONT="Arial"][SIZE="4"] Show that a set of real numbers E is bounded if and only if there is a positive number r so that |x| <r for all x \epsilon E. My Attempt: This is what I have done, and not sure if I am on the right path. Math proofs are pretty difficult for me so please any...