Asked by David

#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?
Answered by David
I forgot to put an intersection between A and C, so it is suppose to be A intersection C = { }.
Answered by oobleck
since B⊆C*, A⊆C*
So, of course, A∩C=Ø

The complement of C is all elements NOT in C
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