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Subjects

Mathematics

Sets and their representations

The Empty Set, Finite and Infinite Sets, Equal Sets

Practice questions

Which elements belong to B = {x : x is a positive divisor of 36 and x is not prime}?Which of the following is not a well-defined set?If F = {x : x ∈ ℕ, x² < 50, and x is divisible by 3}, what is F?For the set G = {x : x is a vowel of the English alphabet}, which statement is correct?If H = {x : x ∈ N and x + 5 = x}, what type of set is H?Choose the correct statement for I = {x : x ∈ ℤ, x² = 16}.If J = {x : x ∈ ℕ, 10 < x < 20, and both x and 2x + 1 are prime}, then J is:Which roster form is correct for K = {x : x ∈ ℤ, -2 < x ≤ 3}?Which option correctly represents L = {1, 8, 27, 64, 125}?If M = {x : x ∈ ℕ, x is a two-digit number and the sum of its digits is 3}, what is M?Which is the set N = {x : x ∈ ℕ, x ≤ 30, x is a multiple of 6 but not a multiple of 12}?If P = {x : x ∈ ℤ, x² - 5x + 6 = 0}, then the correct roster form of P is:What is the correct roster form of Q = {x : x ∈ N, x is a perfect square less than 100, and x is even}?If R = {x : x ∈ ℤ and x³ = x}, then R is:What is the roster form of S = {x : x is a positive integer less than 15 and x is coprime to 15}?If T = {x : x ∈ ℕ, x = 12/n, where n ∈ ℕ}, what is T?Which statement about U = {0, 1, 1, 2, 2, 2, 3} is correct?If V = {x : x ∈ ℤ, x/2 ∈ ℕ, −5 < x < 7}, then V is:Which option correctly gives W = {x : x is a natural number from 1 to 50, divisible by 5 but not by 10}?What is the correct roster form of X = {x : x ∈ ℕ, x is a divisor of 24, and x² > 24}?