33.8k views
1 vote
Give an example of nonempty sets A, B, and C such that:
C ⊆ (A ∪ B) and A ∩ B ∩ C

User Workhorse
by
8.9k points

1 Answer

6 votes

Final answer:

A possible example of nonempty sets A, B, and C that satisfy the given conditions is A = {1, 2}, B = {2, 3}, C = {1}.

Step-by-step explanation:

A possible example of nonempty sets A, B, and C that satisfy the given conditions C ⊆ (A ∪ B) and A ∩ B ∩ C is:

  1. A = {1, 2}
  2. B = {2, 3}
  3. C = {1}

In this example, C is a subset of the union of A and B, and the intersection of A, B, and C is the set {1}, which is nonempty.


User Antonio Petricca
by
9.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories