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Set Operations and Venn Diagrams 2.2 – 2.3

Set Operations and Venn Diagrams 2.2 – 2.3. Intersection of Sets. The intersection of sets A and B, denoted by , is the set of all elements that are common to both. That is, . Union of Sets.

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Set Operations and Venn Diagrams 2.2 – 2.3

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  1. Set Operations and Venn Diagrams2.2 – 2.3

  2. Intersection of Sets The intersection of sets A and B, denoted by , is the set of all elements that are common to both. That is, .

  3. Union of Sets The union of sets A and B, denoted by , is the set of all elements that are either in A or B or in both. That is, .

  4. = {1, 6} Let A = {1,2,3,4,5}, B = {1,3,4,6}, and C = {1,6,7}. Find the following: 1 c. 2 a. 3 b. = {1, 2, 3, 4, 5, 6} = {1, 2, 3, 4, 5, 6} A B 3 2 4 5 1 6 7 C U

  5. Complement of a Set Let Ų be the universal set, and let A be a subset of U . The complement of A, denoted by A’, is the set of elements in U that are not in A. That is, . This set is also symbolized by U – A .

  6. = {a, b, c, d, f} Let U = {a,b,c,d,e,f}, A = {a,c,e}, B = {b,d,e,f}, and C = {a,b,d,f}. Find each specified set. 16 b. 17 a. 18 a. 19 b. = Ø = {c, e} = {a, b, c, d, f}

  7. Difference of Sets If A and B are two sets, the difference of A and B, denoted by A – B, is the set of all elements that are in A and not in B. That is, .

  8. = {2, 3} Let U = {1,2,3,4,5}, A = {2,3,4}, and B = {1,4,5}. Find each specified set. 27 b. 28 b. = {1, 5} A B 5 2 4 1 3 U

  9. Use the numbered regions of the diagram below to identify each specified set. a. b. c. d. e. = {1,2, 3,5,6,7} = {6,7} = {7} = {1,4,5,8} = {1,4,5}

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