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Class 10 · Mathematics
→If A ⊆ U, B ⊆ U, and A − B = A ∩ B′, then (A − B) ∪ (A ∩ B) is equal to which of the following?
Class 10 · Mathematics
→If A = {x ∈ R : |x − 2| ≤ 3} and B = {x ∈ R : x² ≤ 4}, what is A ∩ B?
Class 10 · Mathematics
→If A = {x ∈ R : x² − 5x + 6 ≤ 0} and B = {x ∈ R : x < 4}, what is the difference set A − B?
Class 10 · Mathematics
→If n(A) = 58, n(B) = 44, and n(A − B) = 23, what is n(A ∪ B)?
Class 10 · Mathematics
→If A ∪ B = {2,4,6,8,10,12,14}, A − B = {2,10}, and B − A = {6,14}, what is A ∩ B?
Class 10 · Mathematics
→If A = {x ∈ Z : -4 ≤ x ≤ 6}, B = {x ∈ Z : x² ≤ 16}, and C = {x ∈ Z : 2 divides x}, what is (A ∩ B) − C?
Class 10 · Mathematics
→If A, B, and C are sets, then A ∩ (B − C) is equal to which expression?
Class 10 · Mathematics
→If A = {x ∈ R : -2 < x ≤ 6}, B = {x ∈ R : 1 ≤ x < 8}, and C = {x ∈ R : 4 < x ≤ 10}, what is (A ∪ C) − B?
Class 10 · Mathematics
→If n(A) = 40, n(B) = 36, n(C) = 28, n(A ∩ B) = 14, n(B ∩ C) = 10, n(C ∩ A) = 12, and n(A ∩ B ∩ C) = 5, then what is n((A ∪ B ∪ C) − C)?
Class 10 · Mathematics
→If A, B, and C are sets such that A − B = A − C and A ∩ B = A ∩ C, which statement is correct with respect to A?
Class 12 · Mathematics
→If \(A=\{x\in\mathbb{Z}\mid -4\le x\le4\}\) and \(B=\{x\in\mathbb{Z}\mid x^2\ge9\}\), what is \(A\cap B\)?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5}, B = {2, 3, 6}, and C = {3, 4, 7}, what is the value of A − (B ∩ C)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{N}:x\le30,\ 2\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le30,\ 3\mid x\}\), what is \(A\cap B\)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{N}:x\le 15\}\), \(B=\{x\in\mathbb{N}:3\mid x\}\), and \(C=\{x\in\mathbb{N}:5\mid x\}\), where \(\mathbb{N}=\{1,2,3,\ldots\}\), what is \(A\cap(B\cup C)\)?
Class 10 · Mathematics
→Which of the following sets is equivalent to \(A\cup(B\cap C)\)?
Class 10 · Mathematics
→Which of the following expressions is equivalent to \(A\cap(B\cup C)\)?
Class 10 · Mathematics
→If \(A\cap B=\varnothing\), then which set is \(A-(A-B)\) equal to?
Class 10 · Mathematics
→If \(A=\{1,2,3,4,5,6,7,8\}\) and \(B=\{2,4,6,8,10\}\), what is \((A\cup B)-(A\cap B)\)?
Class 10 · Mathematics
→If \(n(A\cup B)=75\), \(n(A-B)=28\), and \(n(B-A)=31\), what is \(n(A\cap B)\)?
Class 10 · Mathematics
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