Let A = {1, 3,5,7) B={5, 6, 7, 8} C- (5, 8) D={2, 5, 8} U={1, 2, 3, 4, 5, 6, 7,

Question

Let A = {1, 3,5,7) B={5, 6, 7, 8} C- (5, 8) D={2, 5, 8} U={1, 2, 3, 4, 5, 6, 7, 8). Determine whether the statement is true or false. 19) Cs D A) False; the elements are the same in C and D. B) True C) False C is not a subset of D. D) False; D is a subset of C 20) D s B A) True B) False; the elements are the same. C) False; the sets must have the same number of elements. D) False; the elements are not the same. 21) D e D A) False; A is not a subset of itself. C) False; the set is equal to itself. B) True D) False; A is a subset of itself Use s, s, c, or both c and c to make a true statement. 91 114 15 16 (14 15 16

Explanation / Answer

A = {1,3,5,7}

B = {5,6,7,8}

C = {5,8}

D = {2,5,8}

U = {1,2,3,4,5,6,7,8}

19. All elements in C are in D. C is a subset of D.

Therefore, C D.

The answer is B) True.

20. The element 2 is in D but not in B.

D is not a subset of B.

Note: None of the answers are satisfying.

The nearest answer is:

D) False; the elements are not the same.

21) Every set is a subset of itself but not a proper set of itself.

The given statement is therefore B) True.

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