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 ⊆ C

Accepted Answer

Hello. Today we're going to be verifying whether A. Is a subset of C. So we're given two sets in the beginning of the problem. The first set is Set A. Which has the elements and 11. And were given a second set of numbers which is set C. Which has the elements 37 and 11. Now, in order for set A. To be a subset of set C see needs to contain either the same amount or a greater amount of elements compared to set A while. Set A has a total of six elements and set C only has a total of three elements. That means that it is not possible for set C. To contain all of the elements of set A. Or in other words it is not possible for a to be a subset of C since the set A. Is much larger than C. And with that being said, the answer to this problem is B. It is false that A. Is a subset of C. So I hope this video helps you in determining 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 ⊆ C