Question

Give an example of nonempty sets A, B, and C such that:
C ⊆ (A ∪ B) and A ∩ B ∩ C

Answer 1

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.