Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find t...

Question

Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set A ∩ B.

Accepted Answer

Hello. Today we're going to be learning how to create an intersecting set. So we're given two sets of numbers. We have set D. Which consists of X. Y. And Z. And we have set E. Which consists of W. X. Z. And four. So an intersecting set D. And in particular is just a set of solutions where all the numbers are common between both sets. So we only want terms that are present in both sets D and E. Well sets, D&E have two common terms. They have X. In each of the sets and they have Z in each of the sets. And since these are present in both sets, those are the only numbers that we're gonna want to include in our intersecting set. So that means that D intersect E is going to be the set that consists of X. And Z. That means that the solution to this problem is going to be C. So I hope this video helps you understand what an intersecting set is. And I'll go ahead and see you all in the next video.