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Class 10 · Mathematics

If U = R and A = (−∞,−4] ∪ (3,∞), what is A′?

Class 10 · Mathematics

If U = {1,2,…,20}, A = {x : x is even}, and B = {x : x is prime}, how many elements are in A′ ∩ B′?

Class 10 · Mathematics

If A △ B = (A ∩ B′) ∪ (A′ ∩ B), what is (A △ B)′ equal to?

Class 10 · Mathematics

If U = {1,2,…,100} and A = {x : x is not divisible by 7}, what is |A′|?

Class 10 · Mathematics

If U = {1, 2, …, 12}, A = {1, 2, 3, 4, 5, 6}, and B = {4, 5, 6, 7, 8}, what is (A − B)′?

Class 10 · Mathematics

If U = R and A = {x ∈ R : x² − 9 > 0}, what is A′?

Class 10 · Mathematics

If U = {1,2,…,18} and A′ = {2,3,5,7,11,13,17}, how many elements are in A?

Class 10 · Mathematics

If U = {1, 2, …, 50}, A = {x : x is divisible by 4}, and B = {x : x is divisible by 6}, what is |A′ ∩ B|?

Class 10 · Mathematics

Which statement is always false if U ≠ ∅?

Class 10 · Mathematics

If U = ℝ and A = [0, 4) ∪ (7, 10], what is A′?

Class 10 · Mathematics

If U = {1, 2, ..., 30}, A is the set of numbers divisible by 2, and B is the set of numbers divisible by 3, what is |A' ∪ B'|?

Class 10 · Mathematics

For subsets A and B of a universal set U, which statement correctly represents De Morgan’s law?

Class 10 · Mathematics

If U = R and A = {x | x ≤ 1 or x > 9}, what is A'?

Class 10 · Mathematics

If A − B = ∅, which conclusion is always correct?

Class 10 · Mathematics

If U = {1, 2, ..., 25}, A is the set of perfect squares and B is the set of multiples of 5, which element belongs to A' ∩ B'?

Class 10 · Mathematics

If U = {a, b, c, d, e, f, g, i, j, k}, A' = {b, e, i}, and B' = {a, d, j}, what is (A ∪ B)'?

Class 10 · Mathematics

If U = {1, 2, ..., 90}, and A, B, C are respectively the sets of multiples of 2, 3, and 5, what is |(A ∪ B ∪ C)'|?

Class 10 · Mathematics

If \(A\cup B=U\), what is the value of \(A'\cap B'\)?

Class 10 · Mathematics

If U = R and A = {x : |x − 3| < 5}, what is A'?

Class 10 · Mathematics

What is ((A' ∩ B)') equal to?