Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If B₁ = {x : x ∈ ℕ, x is a factor of 72 and x is a multiple of 6}, what is B₁?Which set-builder form correctly represents C₁ = {1, 8, 27, 64}?If F₁ = {x : x ∈ ℕ, x has exactly two distinct positive factors and x < 15}, what is F₁?If I₁ = {x : x ∈ ℤ, x/2 ∈ ℤ, −5 < x < 5}, what is I₁?Which option is the correct roster form of J₁ = {x : x ∈ ℕ, x² − 5x + 6 < 0}?If K₁ = {x : x ∈ N, x² − 5x + 6 ≤ 0}, what is the roster form of K₁?What is the roster form of L₁ = {x : x ∈ Z, |x + 1| = 3}?If M₁ = {x : x ∈ ℕ, x is a divisor of 100 and x is a square number}, what is M₁?If O₁ = {x : x ∈ ℕ, x ≤ 50, and x is divisible by both 4 and 6}, what is the roster form of O₁?What is the set P₁ = {x : x ∈ N, x is a multiple of 5 or 7, and x < 30}?If R₁ = {x : x ∈ ℤ, x² ≤ 9 and x is odd}, what is R₁?What is the roster form of S₁ = {x : x ∈ ℕ, x is a factor of 45 and x + 2 is prime}?If T₁ = {x : x ∈ Z, x² − 2x − 8 = 0}, which is the correct roster form of T₁?Which option is the roster form of U₁ = {x : x ∈ ℕ, 10 ≤ x ≤ 40, and x has the digit 3}?If V₁ = {x : x ∈ ℕ, x < 100, and x is both a square and a cube}, what is V₁?If A = {x : x = n/(n + 1), n ∈ ℕ, 1 ≤ n ≤ 4}, which is the roster form of A?Which option correctly represents the set A = {x ∈ ℕ : x < 10 and x is prime} in roster form?If B = {x : x is a vowel of the English alphabet}, which is the correct roster form of B?Which is the roster form of the set C = {x ∈ ℤ : -3 < x ≤ 2}?Which collection can be considered a mathematical set?