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WORKBOOK

Example 10: If (n A )  x  8, B(n )  x 3  2, A(n  ) B  5and A(n  ) B  x 5 , find n(B).

Example 11: n(A)=3x+1, n(B)= x + 12, (n A ) B  3 and 3.n(A) = 2.n(B) are given. Find (n A B ) .

Example 12: The number of subsets of the sets A, B, and A  Bis 64, 16 and 8 respectively. Find
the number of subsets of the set A  B.

Example 13: A= {1, 2, 4, 5}, B={1, 2, 3} and C= {2, 6} are given. Write the followings in the listed form and
find a relation if there exist.

a) A  A=…………………………
A  A= ………………………..

b) A  B=…………………………

B  A=…………………………

c) A  B=…………………………
B  A=…………………………

d) A  (B  C) =……………………
(A  B)  C =……………………

e) A  (B  C) =……………………

(A  B)  C=……………………

f) A  (B C) =…………………………….
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