# Thread: Set/Function Proof Question

1. ## Set/Function Proof Question

A, U, B are sets and Ø is an empty set.

I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = Ø) then A = U\B.

I'm not sure how to begin solving this problem.

2. Originally Posted by spruancejr
A, U, B are sets and Ø is an empty set.

I'm asked to prove that if (U = intersection of A and B) and (intersection of A and B = Ø) then A = U\B.
Please review what you posted.
The blue and read both say intersection. Is that right?
If so, the question is nonsense.

3. You're right, it's supposed to be if (U = union of A and B) and (intersection of A and B = Ø) then A = U\B.

4. Take note that $U\setminus B=U\cap B^c=(A\cup B)\cap B^c=?$