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Class 10 · Mathematics

If |U| = 90, |A ∩ B| = 24, |A′ ∩ B| = 17, and |A′ ∩ B′| = 29, what is |A ∩ B′|?

Class 10 · Mathematics

If A ⊆ B and B′ ⊆ C, which statement about A′ is always true?

Class 10 · Mathematics

If the universal set is U = ℝ and A = {x ∈ ℝ : x < −4 or x ≥ 2}, what is A′?

Class 10 · Mathematics

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

Class 10 · Mathematics

If U = {1, 2, …, 36}, A is the set of multiples of 4 and B is the set of perfect squares, which element belongs to A′ ∩ B′?

Class 10 · Mathematics

If U = {p, q, r, s, t, u, v, w}, A′ = {q, s, w}, and B′ = {p, s, u}, what is (A ∪ B)′?

Class 10 · Mathematics

If U = {1, 2, …, 120}, and A, B, C are respectively the sets of multiples of 4, 6, and 10, what is |(A ∪ B ∪ C)′|?

Class 10 · Mathematics

If A ∩ B = U, what is A′ ∪ B′?

Class 10 · Mathematics

If U = ℝ and A = {x : |x + 2| ≤ 6}, what is A′?

Class 10 · Mathematics

What is (A ∪ B′)′ equal to?

Class 10 · Mathematics

If U = {1, 2, …, 49}, A = {x : x is a perfect square}, and B = {x : x is odd}, what is |A′ ∩ B|?

Class 10 · Mathematics

If \(|U|=180\), \(|A|=85\), \(|B'|=110\), and \(|A\cap B|=28\), what is the value of \(|(A\cup B)'|\)?

Class 10 · Mathematics

If A′ ⊆ B′, which conclusion is always correct?

Class 10 · Mathematics

If U = ℝ, A = (−6, 1] and B = [−2, 5), what is (A ∪ B)′?

Class 10 · Mathematics

If U = {x : x ∈ ℤ, −10 ≤ x ≤ 10} and A = {x : x² − 9x + 20 ≤ 0}, what is A′?

Class 10 · Mathematics

If U = {1, 2, …, 96}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}, what is |(A ∪ B)′|?

Class 10 · Mathematics

If U = {1, 2, …, 84}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 14}, what is |(A ∩ B)′|?

Class 10 · Mathematics

If U = ℝ and A = {x : −3 ≤ x < 4 or 7 < x ≤ 10}, what is A′?

Class 10 · Mathematics

If U = {1, 2, …, 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}, what is |A′ ∩ B′|?

Class 10 · Mathematics

If A and B are subsets of a universal set U and A is a subset of B, which of the following statements is always true?