True or False? 1. If A, B, and C are sets then A ∩ (B ∪ (A ∩ C)) = A ∩ (B ∪ C). 2. ∅ ∈ {1, 2, 3} 3. The set {1, {3, 4},

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True or False?
1. If A, B, and C are sets then A ∩ (B ∪ (A ∩ C)) = A ∩ (B ∪
C).
2. ∅ ∈ {1, 2, 3}
3. The set {1, {3, 4}, {1, 3, 4}, ∅} has exactly 4
elements.
4. The empty set is an element of the set {{∅}}.
5. The set {{∅}} has exactly one element.
6. If A is any set then A ⊆ A.
7. If A, B, and C are sets for which A ⊆ B and B ⊆ C, then A ⊆
C.
8. P({1, 2, 3, 4, 5}) has exactly 31 elements.
9. {1, 2, 3} × {1, 2, 3, 4, 5, 6, 7} has exactly 21
elements.
10. If A and B are sets for which A ⊆ B and B ⊆ A, then A =
B