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WORKBOOK

Example 5: If A = {a, b, c} and B = {a, c, d, e}, then find

a) n ( A  B ).

b) n (A) + n (B) – n (A B).

c) Write a relation using (a) and (b).

Example 6: A and B are two sets such that n(A)=12, n(B) = 15 and (n A  B )  21. Represent this
information using Venn Diagram and find (n A  ) B .

Example 7: U is the set of all the positive integers less than or equal to 12.
A, B and C are subsets of U.

A = {1, 2, 3, 4, 6,12}
B = {odd integers}

C = {5, 6, 8}

(a) Write down the number of elements in A  C.

(b) List the elements of B.

(c) Complete the following Venn diagram with all the elements of U.

19 091math-wb-w3-(sets)