Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
What type of set is the set of all points lying on a circle?What type of set is the set of all lines parallel to the x-axis?If I₁ = {x : x ∈ ℕ, x ≤ 0}, where ℕ = {1, 2, 3, ...}, which statement about I₁ is correct?If J₁ = {x : x ∈ ℤ, |x| < 3}, how many elements does J₁ have?If K₁ = {x : x ∈ ℤ, |x| = 0}, what type of set is K₁?If L₁ = {x : x ∈ ℤ, |x| = -2}, what is L₁?If M₁ = {x : x is a perfect-square natural number less than 20}, what is M₁?If N₁ = {x : x is a perfect-square natural number}, what type of set is N₁?If O₁ = {x : x ∈ ℕ, x is prime and even}, what type of set is O₁?If P₁ = {1, 2, 3}, Q₁ = {3, 2, 1}, and R₁ = {1, 2, 4}, which conclusion is correct?If A = {x : x ∈ ℕ, x is a factor of 8 and x > 8}, what is A?If B = {x : x ∈ ℤ, -4 < x ≤ 1}, how many elements are in B?If C = {x : x ∈ ℕ, x = 2n, n ∈ ℕ}, what type of set is C?If D = {x : x ∈ ℕ, x² - 5x + 6 = 0} and E = {2, 3}, which statement is correct?Which option correctly identifies equal sets?If A = {x : x ∈ ℤ, x² - 1 = 0} and B = {-1, 1}, what is the correct conclusion?How many elements are in the set C = {x : x ∈ ℕ, x² - 7x + 12 = 0}?If D = {x : x ∈ ℕ, x² + 2x + 1 = 0}, what type of set is D?If F = {x : x ∈ ℤ, |x + 1| ≤ 2}, what is the number of elements in F?If G = {x : x ∈ ℕ, x is a factor of 18 and x is prime}, what is G?