Math121 Discussion - 6th week solutions

Math121 Discussion - 6th week solutions - A = B as...

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MATH 121 DISCUSSION WEEK 6 SOLUTIONS 1) (a) A = { 0, 2, 4, 6, 8, 10 } (b) B = { New England states } (c) A B , because they both have 6 elements. (d) A 6 = B , because they do not have the exact same elements. (In fact, they have no elements in common!) (e) A B = . They are disjoint. (f) U = { U.S. states } (g) B 0 = { x x is a U.S. state but x / New England } (h) A B = { 0, 2, 4, 6, 8, 10, Massachusetts, Connecticut, Rhode Island, Maine, New Hampshire, Vermont } (i) See separate attachment. 2) (a) k / C , but k D . (b) A = B . A = { e, g, h, i } , which is the same set as B . (c) C is a subset of A . (d) A is a subset of B . Remember that every subset is a subset of itself, and
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Unformatted text preview: A = B , as established in part (b). (e) There are 8 subsets: ∅ , { k } , { l } , { m } , { k, l } , { k, m } , { l, m } , { k, l, m } . (f) A is not equivalent to B , since they do not have the same number of elements. (g) U = { letters of the English alphabet } (h) D = { λ λ is a letter of the English alphabet but λ is not k, l, or m } (i) B ∩ C = { g,h,e } (j) B ∪ E = { e,g,h,i,k,m } 3) See separate attachment. 1...
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