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Class 10 · Mathematics

If A \ B = ∅, which statement is definitely correct?

Class 10 · Mathematics

If A \ B = A, which conclusion is definite?

Class 10 · Mathematics

If A − B means A \ B, which statement is generally false?

Class 10 · Mathematics

Let U = {1, 2, ..., 12}, A = {2, 3, 5, 7, 11}, and B = {1, 3, 5, 9, 11}. What is (A ∪ B)′, the complement of A ∪ B in U?

Class 10 · Mathematics

In what context is the statement A \ B = A ∩ B′ correct?

Class 10 · Mathematics

If A = {x ∈ R : x < 2} and B = {x ∈ R : x > −1}, what is A ∪ B?

Class 12 · Mathematics

If A = {x ∈ R : x² < 9} and B = {x ∈ R : x ≥ 1}, what is A ∩ B?

Class 10 · Mathematics

If A = {x ∈ Z : −3 ≤ x < 4} and B = {x ∈ Z : x² ≤ 4}, what is A \ B?

Class 10 · Mathematics

Let U = {1, 2, ..., 20}, A = {x ∈ U : x is prime}, and B = {x ∈ U : x is odd}. What is A \ B?

Class 10 · Mathematics

In a class of 40 students, 24 chose Mathematics and 18 chose Physics, while 7 chose neither subject. How many students chose both subjects?

Class 10 · Mathematics

If A ∩ B = ∅, n(A) = p, and n(B) = q, what is n(A ∪ B)?

Class 10 · Mathematics

If A ⊆ C and B ⊆ C, what is (A ∪ B) \ C?

Class 10 · Mathematics

If A = {a, b, c, d}, B = {b, d, e}, and C = {d, e, f}, what is (A \ B) ∪ (B ∩ C)?

Class 10 · Mathematics

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is (A ∪ B) ∩ C?

Class 10 · Mathematics

If A \ (B ∩ C) is simplified, which option is correct?

Class 10 · Mathematics

If A \ (B ∪ C) is to be written using only intersection and set difference, which form is correct?

Class 10 · Mathematics

If A ∪ B = A, which statement is definitely true?

Class 10 · Mathematics

If A △ B = (A \ B) ∪ (B \ A), A = {1, 2, 4, 6}, and B = {2, 3, 4, 5}, what is A △ B?

Class 10 · Mathematics

If n(A) = 18, n(B) = 22, and n(A ∪ B) = 31, what is n(A \ B)?

Class 10 · Mathematics

If A = (-∞, 2] and B = (0, ∞), then what is (A ∩ B) ∪ (A \ B)?