Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
How many elements are there in T = {x : x ∈ Z, x² ≤ 4}?If U = {x : x ∈ N, 2x + 1 < 12}, which of the following is U?Which option gives the correct set-builder form for {0, 1, 8, 27, 64}?If V = {x : x ∈ N, x is a common multiple of 9 and 12, and x ≤ 100}, what is V?Which is the roster form of W = {x : x ∈ Z, −4 < x < 4, x is even}?If X = {x : x ∈ N, x² is odd and x < 8}, what is X?Which of the following descriptions forms a well-defined set?If A = {x : x ∈ ℤ and x² − 4x + 3 = 0}, which is the correct roster form of A?How can the set B = {0, 3, 8, 15, 24} be correctly written in set-builder form?If A = {x : x is a prime number and 10 < x < 30}, which set is obtained in roster form?What is the roster form of B = {x : x ∈ N and x² < 50}?Which is the most suitable set-builder form of C = {2, 4, 6, 8, 10, 12}?If D = {x : x is the first letter of the names of months}, what type of set is D?Write E = {x : x ∈ ℤ and x² = 9} in roster form.Which statement is correct about F = {x : x ∈ N and 5 < x < 6}?If G = {a, b, c} and H = {c, a, b, a}, which statement is correct about G and H?Which is the roster form of I = {x : x is a vowel of the English alphabet}?What is the roster form of J = {x : x = 2n + 1, n ∈ ℕ, n < 5}?If K = {x : x ∈ ℕ₀ and x < 4}, where ℕ₀ is the set of whole numbers, what is K?Which is the most accurate set-builder form of L = {1, 4, 9, 16, 25}?