Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
What is the roster form of F = {x : x = 2n + 1, n ∈ ℤ, −2 ≤ n ≤ 2}?Which description correctly represents G = {4, 9, 16, 25} in set-builder form?If H = {x : x ∈ ℕ, 12 < x < 30, and x is divisible by 6}, then what is H?Which statement is correct about the set I = {x : x ∈ ℝ, x² + 1 = 0}?If J = {x : x is a letter in the word STATISTICS}, which is the correct roster form?Which set is equal to K = {0, 1, 4, 9, 16}?If L = {x : x ∈ ℕ, x ≤ 20, x is not divisible by 2 but is divisible by 3}, what is the roster form of L?What is the roster form of M = {x : x ∈ ℤ, |x − 2| ≤ 3}?If P = {x : x ∈ ℕ, x divides 48 and x > 12}, then what is P?If Q = {x : x ∈ ℤ, x² − 4x + 3 = 0}, what is the roster form of Q?Which is the set R = {x : x ∈ N, √x ∈ N, 10 < x < 50}?Which set is equal to S = {-2, -1, 0, 1, 2}?If T = {x : x ∈ N, x is a two-digit number and the sum of its digits is 9}, what is the roster form of T?What is the correct option for U = {x : x ∈ Z, 3x + 2 = 11}?If V = {x : x ∈ N⁺, x is a multiple of 4 and x < 25}, what is the roster form of V?Which of the following is an infinite set?If W = {x : x ∈ Z, x² = 9}, what is the roster form of W?Which is the roster form of X = {x : x = 3n − 1, n ∈ N, 1 ≤ n ≤ 5}?If Y = {x : x ∈ N, x is prime, x + 2 is also prime, and x < 20}, what is Y?Which roster form is correct for Z = {x : x ∈ Z, −2 ≤ x < 4}?