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WORKBOOK

EXERCISE 4

1) Given that A = {x | 48 < x ≤ 800, x = 4n, n ∈ ℕ} and 5) Given that (s A B ) 24 , (s A B ) 4
B = {y | y ≤ 750, y = 3k, k ∈ ℕ}. What is the value and ( )s A  s ( ) 30B  . Find the number of
of n (A ∩ B)? the elements of the universal set.

( ) 94 ( ) 80 ( ) 72 ( ) 67 ( ) 58

6) Let A, B, and C be subsets of U. If
(A B C)   , A B A C    ,n(B) 17
 

2) U represents the universal set. If n(U) = 22, n(A’) = n(C ) 15,n((B C) ) 23    , find n(A).
8, n(A) + n(B’) = 34, then what is the value of s(B)?

( ) 1 ( ) 2 ( ) 3 ( ) 4 ( ) 5

7) Let A and B be any two subsets of U
different from empty set. Simplify the

following expressions as much as possible.

3) Given that A ⊄ B, B ⊄ A, n(A ∩ B) = 5 and n(A ∪ a. (A B)  (A B )   .
B) = 14. Find the maximum value of n(B)

( ) 10 ( ) 11 ( ) 12 ( ) 13 ( ) 14


b. A B    A  U B  


8) Let A and B be any two sets. If
4) Given that K ∩ L ∩ M ≠ ∅, n(K) = 13, n(L) = 11. Find n(A B ) 6,n((A B) ) 14      , find n(A’).

the maximum value of n[(K ∪ L) – M].

34 091math-wb-w3-(sets)