Question

Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}.

A) {6, 12}
B) [24, 48)
C) [2, 3, 4, 6, 8, 9, 10, 12}
D) {3, 6, 9, 12}

Answer 1

The intersection A ∩ B of the sets A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12} is the set {6, 12}, which contains the elements common to both sets.

Step-by-step explanation:

To find A ∩ B, we need to identify the elements that are common to both sets A and B. Given A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}, we can see that the elements 6 and 12 are present in both sets.

Therefore, the intersection of sets A and B, denoted as A ∩ B, is {6, 12}.

The correct answer is A) {6, 12}, since these are the only two numbers that appear in both set A and set B.