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Class 10 · Mathematics
→If n(U) = 80, n(A) = 35, n(B) = 42, and n(A ∩ B) = 18, find n((A ∪ B)′).
Class 10 · Mathematics
→If \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,f\}\), what is \(A'\cap B'\)?
Class 10 · Mathematics
→Let U = {1, 2, …, 30}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 3 divides x}. How many elements are in (A ∪ B)′?
Class 10 · Mathematics
→For a universal set \(U\), suppose that a set \(A\) is equal to its own complement, \(A=A'\). Which statement about \(U\) must be true?
Class 10 · Mathematics
→If U = {x ∈ ℤ | −5 ≤ x ≤ 5} and A = {x ∈ U | x² < 10}, find A′, the complement of A with respect to U.
Class 10 · Mathematics
→Let \(U=\{1,2,3,\ldots,20\}\) and \(A=\{x:x\in U\text{ and }x\text{ is prime}\}\). What is \(A'\), the complement of \(A\) with respect to \(U\)?
Class 10 · Mathematics
→Let \(U=\{1,2,\ldots,54\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }9\}\). What is \(|A'\cup B'|\)?
Class 10 · Mathematics
→Let \(U=\{1,2,\ldots,60\}\), \(A=\{x\in U:x\text{ is a multiple of }6\}\), and \(B=\{x\in U:x\text{ is a multiple of }18\}\). Then \(A'\cap B'\) is equal to which of the following?
Class 10 · Mathematics
→In a group of 150 students, 82 study mathematics, 74 study biology, and 36 study both subjects. How many study neither subject?
Class 10 · Mathematics
→If, with respect to the universal set, \(A'\cup B=B\), which of the following conclusions is correct?
Class 10 · Mathematics
→If U = R and A = {x ∈ R : x² + x − 6 ≥ 0}, what is A'?
Class 10 · Mathematics
→If U = {1, 2, ..., 33} and A = {x : x is divisible by 3}, how many even elements are in A'?
Class 10 · Mathematics
→If U = {1, 2, ..., 77}, A = {x ∈ U : x is divisible by 7}, and B = {x ∈ U : x is divisible by 11}, what is |A' ∩ B'|?
Class 10 · Mathematics
→If A' ∩ B' = U, what is the correct conclusion about A ∪ B?
Class 10 · Mathematics
→If U = R and A = {x ∈ R : −5 ≤ x < −1 or 2 < x ≤ 7}, what is A'?
Class 10 · Mathematics
→If U = {1, 2, ..., 16}, A = {1, 3, 5, 7, 9, 11, 13, 15}, and B = {1, 2, 3, 5, 8, 13}, what is A' ∩ B'?
Class 10 · Mathematics
→If A ∪ B = ∅, what is A' ∩ B' equal to?
Class 10 · Mathematics
→If U = {1, 2, ..., 45}, A = {x : x is a multiple of 3}, and B = {x : x is a multiple of 5}, what is the greatest element of (A ∪ B)'?
Class 10 · Mathematics
→If U = R, A = [-3, 2) and B = (2, 6], what is (A ∪ B)'?
Class 10 · Mathematics
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