Recent content by mmathew23

Let f: X--> Y where X and Y are arbitrary sets. Show the following are equivalent. a. F is 1-1 on X b. f(A/B)=f(A)/f(B) for all subsets A and B of X c. f^-1 f(E) = E for all E that is a subset of X d. f(A intersect B) = f(A) union f(B) for all A,B that is a subset of X I know that in...

I haven't done mathematics in a while and I have this question to do. Describe the following subests of the plane: a. R x {1,2,4} b. ([0,1] U [2,3]) x[0,1] c. ([0,1] U [2,3]) x ([0,1]x[2,3]) 2. I'm actually unsure of the relevant equations used for this sort of problem. 3...