Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
If E₁ = {x : x ∈ ℤ and x² + 4 = 4}, what type of set is E₁?If F₁ = {x : x ∈ ℝ and x² + 4 = 0}, what is F₁?If G₁ = {x : x ∈ ℚ and x² = 2}, what type of set is G₁?If H₁ = {x : x ∈ ℝ and x² = 2} and I₁ = {−√2, √2}, which statement is correct?Which set is finite but not empty?Which set is infinite but is not the set of all integers?If K₁ = {x : x = n³, n ∈ ℕ}, what type of set is K₁?If L₁ = {x : x ∈ ℕ, x² < 10} and M₁ = {1, 2, 3}, is L₁ = M₁?If N₁ = {x : x ∈ ℕ, x² ≤ 10} and O₁ = {1, 2, 3}, which statement is correct?If P₁ = {x : x ∈ ℤ, x² < 10}, how many elements are in P₁?If Q₁ = {x : x ∈ ℤ, 2x + 1 = 0}, what is Q₁?If R₁ = {x : x ∈ ℚ, 2x + 1 = 0}, what type of set is R₁?If S₁ = {x : x ∈ ℕ, x leaves remainder 2 when divided by 5}, what type of set is S₁?If T₁ = {x : x ∈ ℕ, x ≤ 40, and x leaves remainder 2 when divided by 5}, how many elements are in T₁?If U₁ = {x : x ∈ ℕ, x leaves remainder 6 when divided by 6}, what is U₁?If X₁ = {x : x ∈ ℤ, x² = 25} and Y₁ = {5, −5, 5}, which statement is correct?If Z₁ = {x : x ∈ ℕ, x is a two-digit number, and x > 99}, what is Z₁?If A₂ = {x : x ∈ N, 10 ≤ x < 100}, what type of set is A₂?If A = {x : x ∈ Z, (x − 1)(x − 2)(x − 3) = 0} and B = {3, 2, 1, 2}, which conclusion is correct?If C = {x : x ∈ ℤ, −5 < x < 5, x is odd, and x² > 9}, how many elements does C have?