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. {0, 2} ⊆ D

Accepted Answer

Hello. Today we're going to be determining whether the given set of numbers is a subset of D. So we're given two numbers for the given subset. And I'm gonna go ahead and call that subset A. The elements in A. R. Zero and one. And we're going to be checking whether A. Is a subset of D Which contains the elements one and 9. Now in order to verify that A is a subset of D. The elements or the numbers given in set A need to all be present in set D. And A. Has the numbers zero and one. Well in set D. It's true that we do have the number one but we're missing the number zero from set D. And since that D. Doesn't contain all of the elements of said A A. Is not a subset of D. And so the answer to this problem is going to be be it is false that zero and one are a subset of D. 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. {0, 2} ⊆ D