Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If A = {x : x = n² − 1, n ∈ ℕ, 1 ≤ n ≤ 5}, which is the correct roster form of A?If A = {x : x ∈ ℕ, x ≤ 25, x is divisible by 4 but not divisible by 8}, which is the correct roster form of A?How can the set B = {2, 5, 10, 17, 26} be written most accurately in set-builder form?If C = {x : x ∈ N and x < 1}, what type of set is C?If D = {x : x ∈ Z, x² + x − 6 = 0}, what is the correct roster form of D?If E = {x : x ∈ Z, −3 ≤ x/2 < 4}, how many elements does E have?Which statement is correct for the set H = {x : x ∈ Z, x² ≤ 9}?If I = {x : x is a two-digit natural number and both its digits are equal}, what is I?Which option is the correct roster form of J = {x : x ∈ N, x = 3n − 1, 1 ≤ n ≤ 5}?If K = {x : x ∈ N, x < 40 and x has exactly three positive divisors}, what is K?Which is the correct roster form of L = {x : x ∈ ℤ, |x + 1| < 3}?If M = {x : x ∈ N, x ≤ 50, and x is divisible by both 3 and 5}, then M is:Which option correctly represents the set N = {5, 10, 15, 20, …}?If O = {x : x ∈ Z and x² = 2x}, what is the correct roster form of O?What is the roster form of P = {x : x is a number from 1 to 100 whose last digit is 2}?If Q = {x : x ∈ N, 1 ≤ x ≤ 20, and x is a perfect cube}, what is Q?If R = {x : x ∈ N, x is a divisor of 36, and x is odd}, what is the roster form of R?Choose the correct roster form of S = {x : x ∈ N and 2x − 1 ≤ 11}.If T = {x : x ∈ Z, x is greater than 5 and less than 11}, how will T be written in roster form?Which option correctly shows U = {x : x ∈ ℕ, x is a prime number less than 10}?