Question

Given A = 1, 2, 3, B = 2, 4, 6, and C = 1, 2, 3, 4, 5, 6, then A ∩ (B ∪ C) =

a) 0
b) 2
c) 1, 2, 3, 4, 5, 6
d) 1, 2, 3, 4, 5, 6, 7, 8

Answer 1

To find the intersection of A and the union of B and C, we first find the union of B and C, then find the intersection with A. The intersection of A and (B ∪ C) is {2, 4, 6}.

Step-by-step explanation:

To find the intersection of A and the union of B and C, we need to first find the union of B and C, then find the intersection with A.

The union of B and C is the set of elements that are in either B or C or both. In this case, B ∪ C = {2, 4, 6, 1, 2, 3, 4, 5, 6}.

The intersection of A and (B ∪ C) is the set of elements that are common to both A and (B ∪ C). In this case, A ∩ (B ∪ C) = {2, 4, 6}.