Mathematics
Equal sets and Subsets
Practice questions
Consider the statement: If \(A\subset B\), then \(A\ne B\). What is the nature of this statement?If \(A=\{x\in\mathbb{N}:x\le 4\}\) and \(B=\{x\in\mathbb{N}:x<5\}\), which statement is correct?If \(A=\{x\in\mathbb Z:x^2-4x+3=0\}\) and \(B=\{1,3\}\), which relation is correct?If {m, m + 2} = {4, 6}, what is the value of m?If A = {∅, {2}, 2}, which of the following statements is correct?If A ⊆ B, A and B are finite sets, and n(A) = n(B) = 7, what is the conclusion?If A = {x : x is a positive prime number less than 4} and B = {2, 3}, which statement is correct about A and B?If A = {1, 2, {3}} and B = {1, 2, 3}, which statement is true?If A = {∅} and B = {{ }}, choose the correct conclusion.If A = {x : x² − 5x + 6 = 0} and B = {2, 3}, what is the relation between A and B?If A = {0, 1, 2} and B = {x : x ∈ W and x < 3}, which statement is correct?If A = {1, 2, 3}, which of these is not a subset of A?If a set has 32 total subsets, how many proper subsets does it have?If A = {x : x is a positive divisor of 6} and B = {1, 2, 3, 6}, choose the correct statement.If A = {1, 2} and B = {1, 2, ∅}, which statement is correct?If A ⊆ B, B ⊆ C, and C ⊆ A, which conclusion is necessary?If A = {2, 4, 6} and B = {x : x = 2n, n ∈ N, 1 ≤ n ≤ 3}, which statement is correct?If A = {1, {1, 2}, 2}, which statement is true?If A = {p, q, r}, how many subsets of A must contain p?If A = {x : x ∈ Z and −2 ≤ x < 2}, which set is equal to A?