Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If A = {x ∈ N : x ≤ 8 and x is not prime}, which set is A equal to?If A = {x ∈ Z : x² + 3x + 2 = 0} and B = {-2, -1}, which relation is correct?Choose the correct statement about A = {x ∈ ℝ : x² - 2x + 5 = 0}.If A = {x ∈ ℕ : x is divisible by 6} and B = {x ∈ ℕ : 2 divides x and 3 divides x}, which statement is correct?For A = {x ∈ Z : (x − 2)(x + 3) = 0} and B = {-3, 2}, which conclusion is correct?If A = {x ∈ N : x² ≤ 30 and x is odd}, how many elements does A contain?What is the nature of the set A = {x ∈ ℝ : |x - 4| + |x - 9| = 5}?If A = {x ∈ N : x is a power of 2 and x ≤ 64}, which set is A equal to?In which option are the two sets equal although their definitions look different?Which statement is correct about the set A = {x ∈ Q : x² = 0.25}?If A = {x ∈ ℤ : |2x − 1| < 4} and B = {−1, 0, 1, 2}, which conclusion is correct?What is the set A = {x ∈ N : x < 12 and x is neither prime nor composite} equal to?Choose the correct type for the set {x ∈ N : x < 1}.Over the real numbers, what is the type of the set {x ∈ R : x² + 1 = 0}?If A = {2, 3, 3, 4} and B = {4, 2, 3}, which statement is correct?How many elements are in the set {x ∈ ℤ : x² < 10}?Choose the correct statement about the set {n² : n ∈ N}.What is the correct difference between {0} and ∅?If A = {2, a + 1}, B = {2, 3}, and A = B, what is the value of a?How many elements are in the set {x : x is a multiple of 5 between 10 and 50}?