Question

Need help:Use a Venn Diagram and the given information to determine the number of elements in the indicated set.
n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(A u B)'.
A) 42
B) 27
C) 18
D) 33

Answer 1

n(A u B)' = n(U) - n(A u B) n(A u B)' = n(U) - [n(A) + n(B) - n(A ∩ B) ] n(A u B)' = 60 - [26 + 16 - 9] n(A u B)' = 60 - 33 n(A u B)' = 27

Answer 2

Use a Venn Diagram and the given information to determine the number of elements in the indicated set. n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(A u B)'. A) 42 B) 27 C) 18 D) 33 ------------------------------------- Draw a rectamgle with two intersecting circles inside lablel A and B. ------------------ Put the number "9" in the intersection. Put 26-9 = 17 in the part of A that does not include the intersection with B. Put 16-9 = 7 in the part of B that does not include the intersection with A. -------------------- The A U B has 7 + 9 + 17 = 33 elements. ============================================= Cheers, Stan H.

Answer 3

: B) 27

Answer 4

A= 48 B= 4 C= 12 D= 56