1. Determine whether each of the following statements is true or false.
a) ∅ ⊆ {∅}
b) ∅ ∈ ∅
2. Let A = {x ∈ N | x < 7}, B = x ∈ Z | |x – 2| < 4} and C = {x ∈ N| x3 – 4x = 0}.
a) Find A ∪ C, B ∩ C, B C, A ⊕ B, C x (B ∩ C), (A B) C, A (B C), and (B ∪ ∅ ) ∩ {∅ }.
3. For A = {a, b, c, {a, b}}, find
a) {∅} P (A)
b) A ∅
c) ∅ A
d) ({a, b, c} ∪ {A}) A
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