Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
Which set is A = {x ∈ ℝ : x² + 1 = 2x} equal to?What type of set is A = {x ∈ ℕ : x is a two-digit natural number}?If A = {x ∈ ℤ : x² = 4x}, what is the relation between A and {0, 4}?What is A = {x ∈ ℕ : x is a perfect cube less than 30}?If A = {x ∈ ℝ : x² − 1 < 0}, which statement about A is correct?Choose the correct option for A = {x ∈ ℤ : x is positive and x is negative}.If A = {x ∈ ℕ : x ≤ 20 and x is divisible by 5} and B = {5, 10, 15, 20}, which statement is correct?What is the correct conclusion about A = {x ∈ ℝ : x² + 2 = 2}?If A = {x ∈ ℤ : x² − 4x + 5 = 0}, choose the correct conclusion about A.Which set is A = {x ∈ ℕ : x² < 2x} equal to?If A = {x ∈ ℤ : x² ≤ x}, what is n(A)?If A is the set of all integers whose square lies strictly between 10 and 20, what is A?Which statement is correct about A = {x ∈ ℝ : |x − 3| = −1}?If A = {x ∈ ℚ : x² = 4} and B = {-2, 2}, choose the correct statement.If A = {x ∈ ℝ : x² = 3} and B = {√3, −√3}, what is the correct statement about A and B?What type of set is A = {x ∈ ℕ : x > 50}?If A is the set of natural numbers x such that x is a three-digit number and x < 100, what is A?If A = {x ∈ ℤ : x is divisible by 3 and x² < 30}, how many elements does A have?Let A be the set of distinct letters occurring in the English word “Mathematics”, and let B = {m, a, t, h, e, i, c, s}. Which statement is correct?If A = {∅, {∅}}, what is n(A), the number of elements in A?