Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If A is the set of prime divisors of 42 and B = {2, 3, 7}, which statement is correct?If A = {x : x ∈ N, x is a factor of 16, and x is not even}, what is A?If A = {2, 4, 6} and B = {x : x is a positive even number and x < 8}, which statement is correct?If A = {x : x² − 5x + 6 = 0} and B = {2, 3}, which statement is correct?If A = {x : x is a positive multiple of 6 and x < 20} and B = {6, 12, 18}, which relation is correct?If A = {1, 2, 3, 4, 5, 6}, what is the set B of all even elements of A?If A = {x : x is a positive divisor of 15} and B = {1, 3, 5, 15}, which statement is correct?Let \(A=\{x:x\text{ is a positive even divisor of }18\}\) and \(B=\{2,6,18\}\). Which statement is true?Which statement about the empty set is always true?If A = {∅}, which of the following statements is true?If \(A\) and \(B\) are finite and \(n(A)=n(B)\), must \(A=B\) always hold?If the singleton sets {2a + 1} and {7} are equal, what is the value of a?If {a, 4} = {2, b} and a ≠ 4, which ordered pair (a, b) is correct?If \(A=\{x:x\in\mathbb{Z},\;-3<x\le 2\}\), which of the following sets is equal to \(A\)?If \(\{a+2\}=\{9\}\), what is the value of \(a\)?If ∅ ∈ A, which conclusion is always correct?If A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ {1, 2, 3, 4}}, which relation is correct?If A = {{1}, 2}, what is n(A)?If \(A=\{\{2\},4,6\}\), what is \(n(A)\)?If A = ∅ and the universal set is U, what is A' equal to?