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Q36 of 44 Page 1

Draw appropriate Venn diagram for each of the following:
(i) (AB)^’, (ii) A^’ B^’, (iii) (AB)^’, (iv) A^’ B^’

(i) A ∪B ( A ∪B)^’

(ii) A^’ B^’

A^’ ∩ B^’

                              (iii) (A∩ B)'


                           (iv) A' ∪ B'

More from this chapter

34

Taking the set of natural numbers as the universal set, write down the complements of the following sets
(i) {x : x ∈ N and x is even}
(ii) {x : x ∈ N and x is odd}
(iii) {x : x ∈ N and x = 3n for some n ∈ N}
(iv) {x : x is a prime number}
(v) {x : x ∈ N and x is a perfect square}
(vi) {x : x ∈ N and x is a perfect cube}
(vii) {x : x ∈ N and x + 5 = 8}
(viii) {x : x ∈ N and 2x + 5 = 9}
(ix) {x : x ∈N and x ≥ 7}
(x) {x : x ∈ N and x is a divisible by 3 and 5}

35

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that
(i) (A ∪ B)’ = A’ ∩ B’
(ii) (A ∩ B)’ = A’ ∪ B’

37

If X and Y are two sets such that n(X) = 17, n(Y) = 23, n(X ∪ Y) = 38, find n(X ∩ Y).

38

If X and Y are two sets such that X has 8 elements, Y has 15 elements, and X∪Y has 18 elements, how many elements does X ∩ Y have?