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Exercise 4

Avg difficulty 2.5

Let A={1,2,3,4,5}A = \{1,2,3,4,5\}, B={3,4,5,6,7}B = \{3,4,5,6,7\}, and C={2,3,5}C = \{2,3,5\}.

  1. Find A∩BA \cap B.

  2. Find A∪BA \cup B.

  3. Find A∖BA \setminus B.

  4. Find A∩(B∪C)‾A \cap \overline{(B \cup C)}.

  5. Find A×CA \times C.

  6. Is C⊆AC \subseteq A? Explain.

  7. Is C⊆BC \subseteq B? Explain.

Hammond, Discrete Math for Shockers, §1.2 Sets, Exercise 4

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.