AI Tutor
Back to Sets

Exercise 2

Avg difficulty 2.5

Let A={1,2,3,4,5,6}A = \{1, 2, 3, 4, 5, 6\}, B={2,4,6}B = \{2, 4, 6\}, C={1,2,3}C = \{1, 2, 3\} and D={7,8,9}D = \{7, 8, 9\}. Determine which of the following are true, false, or meaningless.

  1. A⊂BA \subset B.
  2. B⊂AB \subset A.
  3. B∈CB \in C.
  4. ∅∈A\emptyset \in A.
  5. ∅⊂A\emptyset \subset A.
  6. A<DA \lt D.
  7. 3∈C3 \in C.
  8. 3⊂C3 \subset C.
  9. {3}⊂C\{3\} \subset C.

Hammond, Discrete Math for Shockers, §1.2 Sets, Exercise 2

AI Tutor

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.