Question

Given the following sets: A = {0, 1, 2, 3), B = {a, b, c, d], C = {0, a, 2, b}

Find A ∩ C (Intersection of A and C).

a) {0, 1, 2, 3}
b) {a, b, c, d}
c) {0, a, 2, b}
d) ∅ (empty set)

Answer 1

The intersection of set A and set C is {0}.

Step-by-step explanation:

The intersection of two sets, A and C, denoted as A ∩ C, is the set of elements that are common to both sets. In this case, Set A is {0, 1, 2, 3} and Set C is {0, a, 2, b}.

Upon comparing the two sets, we can see that the only element they have in common is 0. Therefore, A ∩ C = {0}.

So, the correct answer is a) {0, 1, 2, 3}.