Having trouble getting the answer for 20 and 21 . Could Someone please explain?

Question

Having trouble getting the answer for 20 and 21 . Could Someone please explain? This is an important assignment for my math class. Any help 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 alse; the elements are the same in C and D. B) true False; C is not a subset of D D) False; D is a subset of C. 20) Ds B 20) A) True B) False; the elements are the same. (D) alse; the elements are not the same. False; A is not a subset of itself False; the sets must have the same number of elements. I (2 a0 21) D e D 21 alse; the set is equal to itself.c Use s, 5, 5, or both e and s to make a true statement. 0 22) [14 15, 161 (14. 15, 16 A) c B) s 22) D) e and s

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}

20) D B.

In order to be a subset of B, all elements in D must be in B (but not necessarily vice versa).

But the element 2 is in D but not in B.

The statement is therefore false.

None of the answers given are actually accurate.

Nearest answer could be C) but even that is inaccurate.

21) D D.

Every set is a subset of itself. However a set cannot be a proper subset of itself.

Therefore, the statement is B) True.

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