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. C ⊆ U

Accepted Answer

Hello. Today we're going to be determining whether C is a subset of you. So in the beginning of the problem we're given two sets of numbers. The first set of numbers is Set C. Which has a total of three elements 37 and 11. And the second set is given to us as set you which has a total of seven elements 13579, 11 and 13. Now, since we're verifying that C is a subset of you, all the elements that are found within subset C should be present in the set of numbers you. So sally has 37 and 11. Let's go ahead and check to see if these numbers exist within you while you has three which is the first number in C. You have seven which is the second number in seven and you has 11 which is the third number in set C. So since all the elements of C are present in you that verifies that C. Is a subset of you and that means that the answer to this problem is going to be a it is true that C is a subset of you. So I hope this video helps you in understanding 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. C ⊆ U