Taking the set of natural numbers as the universal set, write down the complements of the following sets:

Question

CASE_STUDIESComplement of a Set11 sub-questions

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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.

Let U be universal set of all the students of Class XI of a coeducational school and A be the set of all girls in Class XI. Find A′.

Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Find A′, B′ , A′ ∩ B′, A ∪ B and hence show that ( A ∪ B )′ = A′∩ B′.

TextComplement of a Set

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 }. Find

If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :

Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A′?