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Class 10 · Mathematics
→If \(n(A\cup B)=n(A)+n(B)\) and \(n(A)=0\), what is \(A\cap B\)?
Class 10 · Mathematics
→Which expression is equal to \(A\setminus(B\setminus C)\)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb Z:|x|\le 4\}\) and \(B=\{x\in\mathbb Z:x^2\le 9\}\), what is \(A\setminus B\)?
Class 10 · Mathematics
→If A \ B = A ∩ C and A ∩ B = A \ C, what is A ∩ B ∩ C?
Class 10 · Mathematics
→If \(A\cup B=A\cup C\), which additional statement is sufficient to prove \(B=C\)?
Class 10 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is \(\mathcal P(A\cap B)\cap\mathcal P(A\setminus B)\)?
Class 10 · Mathematics
→If A ∩ B ⊆ C, which of the following sets must be empty?
Class 10 · Mathematics
→If \(A\setminus C=B\setminus C\) and \(A\cap C=B\cap C\), what is the conclusion about \(A\) and \(B\)?
Class 10 · Mathematics
→If \(A=\{1,3,5,7,9\}\), \(B=\{0,3,6,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap(B\cup C)\)?
Class 10 · Mathematics
→If \(A\cup B=A\) and \(A\cap B=B\), which of the following statements must be true?
Class 10 · Mathematics
→If A and B are finite sets and |A \ B| = 9, |B \ A| = 4, and |A ∩ B| = 11, what is |A ∪ B|?
Class 10 · Mathematics
→If A = {x ∈ ℝ | x² − 5x + 6 = 0} and B = {x ∈ ℝ | x² − 7x + 12 = 0}, what is A ∩ B?
Class 10 · Mathematics
→If \(A\setminus B=\{1,4\}\), \(A\cap B=\{2,3\}\), and \(B\setminus A=\{5,6,7\}\), what is \(A\cup B\)?
Class 10 · Mathematics
→If \(A\cap B=\varnothing\), which formula for \(|A\cup B|\) is correct?
Class 10 · Mathematics
→If \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what is \((A\setminus B)\cup(B\setminus A)\)?
Class 10 · Mathematics
→If \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which conclusion must be true?
Class 10 · Mathematics
→If \(U=\{1,2,\ldots,100\}\), \(A=\{x\in U:4\mid x\}\), and \(B=\{x\in U:10\mid x\}\), what is \(|A\cap B|\)?
Class 10 · Mathematics
→If \(A\subseteq C\) and \(B\subseteq C\), what is \((A\cup B)\setminus C\)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{N}:x\le 20,\ x\text{ is prime}\}\) and \(B=\{x\in\mathbb{N}:x\le 20,\ x\text{ is odd}\}\), what is \(A\setminus B\)?
Class 10 · Mathematics
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