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Help!! sets and logic...?

Let U = {8, 9, 10, 11, 12, 13, 14, 15, 16, 17}, A = {9, 11, 13, 15}, B = {12, 16}, and C = {9, 12, 15, 16, 17}. List all the members of each of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)

(a) (A ∩ B) ∩ not C

{ 1, 2, 3, 4, 5, 6, 7}

(b) (not A ∩ B) ∪ C

{ 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}

2 Answers

Relevance
  • Will H
    Lv 7
    1 decade ago
    Favorite Answer

    Let U = {8, 9, 10, 11, 12, 13, 14, 15, 16, 17}, A = {9, 11, 13, 15}, B = {12, 16}, and C = {9, 12, 15, 16, 17}.

    (a) (A ∩ B) ∩ not C

    empty set (Nothing intercepts A and B)

    (b) ((not A) ∩ B) ∪ C

    {9, 12, 15, 16, 17}.

  • 1 decade ago

    a) {8 , 10, 11, 13, 14}

    b) {9, 12, 15, 16, 17}

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