Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If H = {x : x ∈ N, x is a factor of 25 and x is even}, what type of set is H?Let I = {x ∈ ℕ : x is a multiple of 4 and x < 30}, where ℕ = {1, 2, 3, ...}. How many elements does I have?If J = {x : x = 3n + 1, n ∈ N}, where N = {1, 2, 3, ...}, what type of set is J?If K = {x : x = 3n + 1, n ∈ N, n ≤ 5}, where N = {1, 2, 3, ...}, what type of set is K?If L = {x : x ∈ N, x ≤ 20, and x is not divisible by 3}, what type of set is L?If M = {x : x ∈ N and x is not divisible by 2}, what type of set is M?If N = {x : x ∈ Z, -2 ≤ x < 3} and O = {-2, -1, 0, 1, 2}, which statement is true?If P = {x : x ∈ N and x is a factor of 36} and Q = {1, 2, 3, 4, 6, 9, 12, 18, 36}, which statement is correct?If R = {x : x ∈ N and x is a multiple of 36} and Q = {1, 2, 3, 4, 6, 9, 12, 18, 36}, what is true about R and Q?If S = {x : x ∈ N, x is a prime number less than 50, and x is even}, what is S?If T = {x : x ∈ ℕ, x > 1 and x has exactly one positive factor}, what is T?If U = {x : x ∈ ℤ, x² = x}, what are the elements of U?If V = {x : x ∈ ℕ, x² = x}, what is V?If Y = {x : x ∈ ℤ, x² < 4}, how many elements does Y have?If Z = {x : x ∈ ℤ, x² ≤ 4}, how many elements does Z have?Which statement is false?If A₁ = {x : x ∈ ℕ, x is a multiple of both 10 and 15}, what type of set is A₁?If B₁ = {x : x ∈ ℕ, x is a multiple of both 10 and 15, and x < 100}, how many elements are in B₁?If C₁ = {x : x ∈ ℕ and x is a factor of both 12 and 18}, what is C₁?If D₁ = {x : x ∈ ℕ, x is a factor of both 12 and 18, and x > 6}, what is D₁?