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Class 10 · Mathematics
→If \(A\subseteq B\), which relation between their complements is correct?
Class 10 · Mathematics
→Given the universal set \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\), what is the value of \((A\cup B)^c\)?
Class 10 · Mathematics
→If \(A=U\), what is \(A^c\)?
Class 10 · Mathematics
→If \(A=\varnothing\) and the universal set is \(U\), what is \(A^c\)?
Class 10 · Mathematics
→If the universal set is \(U=\{a,b,c,d,e\}\) and \(B=\{a,e\}\), how many elements does \(B^c\) contain?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,4,5,6\}\) and \(A=\{2,4,6\}\), what is \(A^c\)?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,4,5,6,7\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,4,6\}\), what is the value of \((A\cap B)^c\)?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4,5\}\), and \(B=\{6,7,8\}\), what is the value of \((A\cup B)^c\)?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,\ldots,12\}\), \(A=\{3,6,9,12\}\), and \(B=A^c\), what is the value of \(A\cap B\)?
Class 10 · Mathematics
→Let the universal set be \(U=\{1,2,3,\ldots,12\}\), \(A=\{2,3,5,7,11\}\), and \(B=A^c\). What is the value of \(A\cup B\)?
Class 10 · Mathematics
→If U = {1,2,3,...,80} and A is the subset of U whose elements are divisible by 8, how many elements does Aᶜ contain?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9} and A = {2,3,5}, which of the following sets B is not the complement of A?
Class 10 · Mathematics
→If Aᶜ = {x | x ∈ U and x ∉ A}, why does A ∪ Aᶜ = U hold?
Class 10 · Mathematics
→For the universal set U, if n(U)=72 and n(A^c)=3n(A), what is the value of n(A)?
Class 10 · Mathematics
→If n(U) = 84 and n(A) = 2n(Aᶜ), where U is the universal set, what is n(Aᶜ)?
Class 10 · Mathematics
→Which of the following statements about the complement Aᶜ of a set A is always true?
Class 10 · Mathematics
→If U={1,2,3,...,11}, A={1,4,7,10}, and B={2,4,6,8,10}, what is A^c ∩ B^c?
Class 10 · Mathematics
→For subsets A and B of a universal set U, which of the following statements is always true?
Class 10 · Mathematics
→If U = {1,2,3,...,24}, A is the set of elements divisible by 4, and B is the set of elements divisible by 6, how many elements are in Aᶜ ∩ Bᶜ?
Class 10 · Mathematics
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