Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12},...

Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ U

Accepted Answer

Hello. Today we're going to determine whether the set of numbers A. Is a subset of you. So in the beginning of the problem we are given the sets A. And you. And in the set of A. We have the six elements 13579 and 11. And in set you we have a total of seven elements which is 13579, 11 and 13. Now, since we're verifying that A. Is a subset of you, all the elements or numbers in a have to be present in the numbers of you. While if we take a look at the six numbers given to us in a these six numbers match the first six numbers and set you, which means that all the elements that are present within set A are present within set you and that verifies that A. Is a subset of you, which means that the answer to this problem is going to be a The statement is true. So I hope this video helps you in understanding how to determine what a subset is. And I'll go ahead and see you all in the next video.

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Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ U