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1. Let S = {a, b, c}. Find a set T such that S ∈ T...

1. Let S = {a, b, c}. Find a set T such that S ∈ T and S ⊂ T.

2. Let A = {1, 2, ..., 10}. Give an example of two sets S and B such that S ⊂ P(A), |S| = 4, B ∈ S and |B| = 2.

3. Let U = {1, 2, 3} be the universal set and let A = {1, 2}, B = {2, 3} and C = {1, 3}. Determine the following sets: 1. (A ∪ B) − (B ∩ C), 2. A, 3. B ∪ C.

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