Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
What is A = {x ∈ N : x is a composite number less than 11}?If A is the set of integers that leave remainder 1 when divided by 2, which statement about A is correct?If A = {x ∈ Z : x leaves remainder 5 when divided by 4}, what is A?If A = {x ∈ N : x is less than 100 and x is greater than 100}, which option is correct?If A = {x ∈ N : x is an n-digit number, where n = 1}, what is the number of elements in A?Which set is equal to A = {x ∈ Z : x² = 49 and x > 0}?If A = {x ∈ ℤ : x² = 49 and x < 0} and B = {−7}, which statement is correct?If A = {x ∈ R : x² - 2x + 2 = 0}, what is A?If A = {x ∈ ℕ : x is a factor of 30 and x is prime}, then which set is A?If A = {x ∈ N : x is greater than 1 and x is a factor of 1}, what is A?If A = {x ∈ N : x is a power of 2}, which statement about A is correct?Let A = {x ∈ ℤ : x is a power of 2 and x < 0}. What is A?Let A = {x ∈ ℕ : 1 ≤ x ≤ 50 and x is divisible by 7}, where ℕ = {1, 2, 3, …}. What is n(A)?For A = {x ∈ ℤ : x² ≤ 1} and B = {−1, 0, 1}, which statement is correct?If A = {x ∈ ℝ : x² = x + 2} and B = {-1, 2}, choose the correct option.Under the usual school convention ℕ = {1, 2, 3, ...}, which statement is correct for A = {x ∈ ℕ : x < 1}?Identify the set A = {x ∈ ℝ : x² + 4 = 0}.If A = {2, 3, 3, 5, 2} and B = {5, 2, 3}, which statement is correct?If A = {x ∈ ℤ : x² = 9} and B = {-3, 3}, choose the correct conclusion.What is the nature of A = {x ∈ ℕ : x is a prime factor of 12}?