Question

Let U = {a, b, c, d, e, f}

Let A = {a, c, e, f}
Let B = {c, d, e} C = {e, f}

Find each of the following:
1. A’
2. B′
3. C′
4. B ∪ C
5. A ∩ C
6. B ∩ C
7. (A ∪ B)′
8. A′ ∪ B′
9. B′ ∩ C
10. A ∪ (B′ ∩ C)

Answer 1

A' is everything not in A: {b,d}

A ∩ C is everything in both A and C: {e,f}
Now you try the others.