Mathematics
Equal sets and Subsets
Practice questions
If \(A=\{x\mid x\) is a natural-number solution of \(x^2-4=0\}\) and \(B=\{2\}\), which option is correct?If \(A=\{x\mid x\) is an even positive divisor of 24\}, which option is a subset of \(A\)?If \(A=\{2,4,6\}\), which option is a subset of \(A\) but not a proper subset?If \(A=\{x\mid x\) is a prime divisor of 30\} and \(B=\{2,3,5\}\), what is the relation between \(A\) and \(B\)?If \(A=\{1,2,3,4,5,6\}\), \(B=\{2,4,6\}\), and \(C=\{x\mid x\in A\) and \(x\) is even\}\), which statement is correct?If A ⊆ B, n(A) = 8, and B has no element outside A, which conclusion must be true?Let A = {x ∈ Z : |x − 2| < 2}. Which of the following is a proper subset of A?Let A = {x ∈ N : x divides 18} and B = {1, 2, 3, 6, 9, 18}. Which option is correct?If A = {x : x ∈ Z and -3 ≤ x < 2}, which of the following sets is equal to A?Let A = {x : x ∈ N and x < 10}, and let B be the set of one-digit natural numbers. Which statement is true?If A = {x : x ∈ Z and |x| ≤ 2} and B = {-2, -1, 0, 1, 2}, which conclusion is correct?If A = {x : x is an even prime and x < 10}, which set is equal to A?If A = {1, 2, {1, 2}}, how many elements does A have?If A = {x : x ∈ Z and x^2 = 9} and B = {-3, 3, 9}, what is the correct relation?If A = {x : x ∈ ℤ and x² − 1 = 0} and B = {x : x ∈ ℤ, −2 < x < 2 and x ≠ 0}, which of the following is true?If A = {1, 2, 3, 4, 5, 6} and B = {2, 3, 5}, what is true about the three-element subset of B?If A = {x : x ∈ N and x ≤ 6} and B = {x : x is a positive divisor of 6}, what is the relation between A and B?If A = {x : x ∈ Z and x² − 2x = 0} and B = {0,2}, which statement is true?If A = {x : x is a prime number from 1 to 20} and B = {2,3,5,7,11,13,17,19}, what is the conclusion?If A = {x : x is a positive multiple of 5 and x < 30} and B = {5,10,15,20,25}, what is the relation between A and B?