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Class 10 · Mathematics

If A = {x ∈ R : 1 ≤ x ≤ 9} and B = {x ∈ R : 3 < x < 7}, what is A − B?

Class 10 · Mathematics

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

Class 10 · Mathematics

If A △ B = (A − B) ∪ (B − A), n(A △ B) = 26, and n(A ∩ B) = 9, what is n(A ∪ B)?

Class 10 · Mathematics

If \(A=\{x\in\mathbb{Z}:-6\le x\le 6\}\) and \(B=\{x\in\mathbb{Z}:x^2<10\}\), what is \(A-B\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4,5,6\}\), \(B=\{2,4,6\}\), and \(C=\{1,3,5\}\), what is the value of \((A-B)\cap C\)?

Class 10 · Mathematics

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

Class 10 · Mathematics

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

Class 10 · Mathematics

If U = {1, 2, ..., 20}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 5 divides x}, what is (A ∪ B)'?

Class 10 · Mathematics

If \(A=\{x\in\mathbb{N}:x\le25,\ x\text{ is prime}\}\) and \(B=\{x\in\mathbb{N}:x\le25,\ x\text{ is odd}\}\), what is \(B-A\)?

Class 10 · Mathematics

If A = {x : x is a letter of the English word ALGEBRA} and B = {x : x is a letter of the English word GEOMETRY}, what is A ∪ B?

Class 10 · Mathematics

Which of the following statements is always true for sets?

Class 10 · Mathematics

If \(A=\{x\in\mathbb{Z}:x^2-1=0\}\) and \(B=\{x\in\mathbb{Z}:x^2=1\}\), what is \(A-B\)?

Class 10 · Mathematics

If \(A\cap B=A\) and \(B\cap C=B\), which conclusion is correct?

Class 10 · Mathematics

Which option is equal to \((A\cup B)-A\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4,5\}\), \(B=\{3,4,5,6\}\), and \(C=\{5,6,7\}\), what is the value of \((A-B)\cup(B-C)\)?

Class 10 · Mathematics

If \(A=\{x\in\mathbb{N}:x\mid 72\}\) and \(B=\{x\in\mathbb{N}:x\mid 90\}\), what is \(A\cap B\)?

Class 10 · Mathematics

If \(A=\{x\in\mathbb{N}:x\le 40,\ 4\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le 40,\ 6\mid x\}\), what is \(A\cap B\)?

Class 10 · Mathematics

If \(A\cap B=\varnothing\) and \(A\cup B=A\cup C\), which additional condition is sufficient for \(B\subseteq C\)?

Class 10 · Mathematics

If \(A-B=\{p,q\}\), \(A\cap B=\{r,s,t\}\), and \(B-A=\{u\}\), what is the value of \(n(A)\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4,5,6,7\}\), \(B=\{2,4,6,8\}\), and \(C=\{1,4,7,8\}\), what is the value of \((A\cup B)\cap C\)?