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Subjects

Mathematics

Sets and their representations

The Empty Set, Finite and Infinite Sets, Equal Sets

Practice questions

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}?If V = {x : x ∈ N, x = 24/n}, where n ∈ N and n is even, what is V?What is the correct roster form of W = {x : x ∈ ℤ, x² < 2}?If A = {x ∈ ℤ : x² < 10 and x > -3}, what is A in roster form?Which option gives the most precise set-builder form of B = {2, 4, 6, 8, 10}?Which is the roster form of A = {x ∈ Z : x² ≤ 16 and x is not prime}?If P = {n ∈ ℕ : n divides both 18 and 24}, which set is P?Which option gives the correct set-builder form of S = {1, 4, 9, 16, 25}?How many elements are there in M = {x ∈ N : x < 40 and x is divisible by 6 or 9}?If C = {x : x is a positive divisor of 12 and x is odd}, what is the roster form of C?Which of the following is an empty set? Assume N = {1, 2, 3, ...}.Which is the roster form of D = {x ∈ ℤ : |x − 2| ≤ 3}?If T = {x ∈ ℕ : x² − 5x + 6 = 0}, what is T?How many elements are in E = {x ∈ ℤ : x² = 9 or x² = 16}?Which option gives a suitable description of F = {a, e, i, o, u}?If G = {x ∈ ℕ : 3x + 1 < 16}, what is the roster form of G?Which is the correct roster form for H = {x ∈ ℤ : −2 < x ≤ 3}?