OpenStax, Contemporary Mathematics §1.5 Set Operations with Three Sets · Example 2 · Combinatorics · Sets & logic

Set Operations with Three Sets · Example 2

Perform the set operations as indicated on the following sets: $U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}$ , $A = {0, 1, 2, 3, 4, 5, 6},$ $B = {0, 2, 4, 6, 8, 10, 12},$ and $C = {0, 3, 6, 9, 12} .$

(a) Find $(A \cap B) \cap C .$
(b) Find $A \cap (B \cup C) .$
(c) Find $(A \cap B) \cup C^{^{'}} .$

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OpenStax, Contemporary Mathematics · §1.5 Set Operations with Three Sets · Example 2

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