Question

#1: Prove or provide a counterexample:

For all sets A, B, C, if A is subset of B and B is a subset of C^c (complement of C), then AC= { }.

How can you even find the complement of C?

Answer 1

I forgot to put an intersection between A and C, so it is suppose to be A intersection C = { }.

Answer 2

since B⊆C*, A⊆C*
So, of course, A∩C=Ø

The complement of C is all elements NOT in C