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Class 10 · Mathematics

If A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C), which law does this illustrate?

Class 10 · Mathematics

If A = {x ∈ R : x ≤ 0} and B = {x ∈ R : x > 2}, what is A ∩ B?

Class 10 · Mathematics

If A = {x : x ∈ ℤ, |x| ≤ 3} and B = {x : x ∈ ℤ, x² − 1 = 0}, what is A \ B?

Class 10 · Mathematics

Let N = {1, 2, 3, ...}. If A = {x ∈ N : x ≤ 50 and 4 divides x} and B = {x ∈ N : x ≤ 50 and 6 divides x}, what is n(A ∩ B)?

Class 10 · Mathematics

If A ∩ B = ∅, what is (A ∪ B) \ A?

Class 10 · Mathematics

If A \ B = B \ A = {2, 5}, what is the correct conclusion?

Class 10 · Mathematics

If A ∩ B = A \ B, what is the correct conclusion about A?

Class 10 · Mathematics

If A ∪ B = A ∩ C, which conclusion must be true?

Class 10 · Mathematics

If A = {x ∈ R : 0 ≤ x ≤ 4} and B = {x ∈ R : x² − 4x + 3 ≤ 0}, what is A ∩ B?

Class 12 · Mathematics

If A and B are finite sets, n(A \ B) = 12, n(B) = 20, and n(A ∩ B) = 8, what is n(A ∪ B)?

Class 10 · Mathematics

If A = {1, 2, 3, 4}, how many subsets B ⊆ A satisfy that A \ B has exactly 2 elements?

Class 12 · Mathematics

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

Class 12 · Mathematics

If A ⊆ B', which statement is correct?

Class 10 · Mathematics

Let U be a universal set with n(U) = 60. If n(A) = 32, n(B) = 27, and n(A ∩ B) = 11, what is n((A ∪ B)′), the number of elements in the complement of A ∪ B?

Class 10 · Mathematics

If A \ B has 5 elements, B \ A has 7 elements, and A ∩ B has 4 elements, what is n(A ∪ B)?

Class 10 · Mathematics

If A and B are subsets of a universal set U, then (A \ B) ∪ (A ∩ B) is equal to which set?

Class 10 · Mathematics

Let A = {x : x is a positive natural number, x ≤ 15, and 2 divides x} and B = {x : x is a positive natural number, x ≤ 15, and 5 divides x}. How many elements are in A ∪ B?

Class 10 · Mathematics

If A = {x : x = 2k, k ∈ Z} and B = {x : x = 3m, m ∈ Z}, then A ∩ B is the set of what?

Class 10 · Mathematics

If A = {(x, y) : x, y ∈ {1, 2, 3}, x < y} and B = {(x, y) : x + y = 4}, what is A ∩ B?

Class 10 · Mathematics

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