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Subjects

Mathematics

Complement of a Set and Its Properties

समुच्चय का पूरक और उसके गुणधर्म

In Class 11 Mathematics, under the chapter Sets, Complement of a Set and Its Properties explains the elements of a universal set that are not in a given set. Students find complements using notation such as A′, determine complements from given sets, and understand basic relationships between a set, its complement, and the universal set.

Practice questions

If U = {m, n, o, p, q} and A = {n, p}, which element will not be in A′?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {x ∈ U : x ≤ 4}, which is the most correct form of A′?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {x ∈ U : x divides 12}, what is A′?If U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} and W = {Saturday, Sunday}, what is W′?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and B = {6, 7}, what is (A ∪ B)′?If U = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8} and B = {1,2,3,4}, what is (A ∩ B)′?If n(U) = 64 and n(A′) = 19, what is n(A)?If A ⊆ U and A′ = U, what must A be?Let U = {x : x ∈ N, 1 ≤ x ≤ 14} and A = {x : x ∈ U, x is odd}. What is n(A′)?If the universal set is U = {1,2,3,4,5} and A = {1,3}, what is Aᶜ?If U = {a,b,c,d} and A = {b,d}, find Aᶜ.Which formula correctly represents the complement of set A?If x ∈ U and x ∉ A, then x will be an element of which set?If U = {2,4,6,8} and A = U, what is Aᶜ?If U = {1,2,3} and A = ∅, what is Aᶜ?If n(U) = 20 and n(A) = 7, what is n(Aᶜ)?If U = {1, 2, 3, 4, 5, 6} and Aᶜ = {5, 6}, what is A?For any set A, what is A ∪ Aᶜ equal to?For any set A, what is A ∩ Aᶜ equal to?For any set A, what is (Aᶜ)ᶜ equal to?