Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
Which option correctly represents the set A₂ = {x ∈ ℤ : 0 < x < 1}?Which option cannot represent B₁ = {x ∈ ℝ : 1 < x < 4}?How many elements are in B₂ = {x ∈ ℤ : x is a positive factor of 15}?Which option represents C₁ = {2, 3, 5, 7, 11} most accurately in set-builder form?If C₂ = {x ∈ ℕ : x is divisible by both 2 and 3 and x ≤ 18}, then what is C₂?Which is the set C₃ = {x ∈ ℕ : x is a factor of 9 and x is prime}?Which option correctly describes D₁ = {x ∈ ℕ : x is a multiple of 5}?Which is the roster form of D₂ = {x ∈ ℤ : x is even and −5 < x < 5}?If D₃ = {x ∈ ℕ : x is prime and 20 < x < 30}, then what is D₃?Which is the roster form of E₁ = {x ∈ ℕ : x is odd and x ≤ 11}?Which option is correct about E₂ = {x : x is a month name}?If E₃ = {x ∈ ℕ : x < 20 and x is divisible by 2 or 5}, then what is E₃?Which is the roster form of F₁ = {x ∈ ℤ : −4 ≤ x ≤ 4 and x is odd}?If F₂ = {x ∈ ℕ : x² − 1 = 0}, then what is F₂?Which option is a suitable set-builder form for F₃ = {1, 8, 27, 64}?Which is the set G₁ = {x ∈ ℕ : x is a factor of 24 and x > 6}?If G₂ = {x ∈ ℤ : x² ≤ 1}, which is the correct roster form of G₂?Which is the correct roster form of the set A = {x ∈ ℤ : x² = x}?If B = {x ∈ ℕ : x is a factor of 36 and x is a perfect square}, then what is B?Which is the roster form of the set C = {x ∈ ℤ : |x − 2| ≤ 1}?