TEST BANK FOR A Discrete Transition to Advanced Mathematics By Bettina Richmond and Thomas Richmond

1.1 Sets 1. (a) True (b) The elements of a set are not ordered, so there is no “first” element of a set. 2. |{M, I, S, S, I, S, S, I, P, P, I}| = |{M, I, S, P}| = 4 < 7 = |{F, L,O,R, I,D,A}|. 3. (a) {1, 2, 3} ⊆ {1, 2, 3, 4} (b) 3 ∈ {1, 2, 3, 4} (c) {3} ⊆ {1, 2, 3, 4} (d) {a} ∈ {{a}, {b}, {a, b}} (e) ∅ ⊆ {{a}, {b}, {a, b}} (f) {{a}, {b}} ⊆ {{a}, {b}, {a, b}} 5. (a) A 0-element set ∅ has 20 = 1 subset, namely ∅. (b) A 1-element set {1} has 21 = 2 subsets, namely...