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 gonna be working on unionizing two sets of real numbers. So the first set of real numbers given to us is set D with X. Y. Z. In the set. And the second set is set E with W X. Z and four inside. So in order to unionize both of these sets, what we're gonna do is we're gonna go ahead and combine all the numbers inside of the set without including any repeating numbers. So let's go ahead and list out the terms that we have for set D. We have the terms X, Y and Z. For set E. We have the terms WX, Z and four. Now if you notice we have repeating terms of X and Z here and we have the terms X and Z. In this set, we only need one instance of each of these in order to unionize them. So I'm gonna go ahead and list out X and Z once right here And now we can go ahead and include the rest of our non repeating terms which are going to be WY and four. And once we go ahead and close that in a set, that is going to be d union E and order. Doesn't matter when you're combining these. But if you notice the solution that that closely resembles this is going to be D. So our answer is going to be deep. So I hope this helps you understand how to unionize two sets of solutions and I'll go ahead, I'll see you all in the next video