Mathematics
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
Which option is correct for A = {x ∈ ℝ : x² = 0 and x > 0}?If A = {x ∈ ℕ : x is a perfect square}, what type of set is A?Let A = {x ∈ ℕ : x is a perfect square and x < 50}. How many elements does A have?If A = {x ∈ ℤ : x² = 16 and x < 0}, what is A?If A = {x ∈ ℕ : x is greater than 1 and less than 2}, what type of set is A?If A = {x ∈ ℤ : x³ = x}, which of the following is A equal to?Which option represents a set equal to {0, 1}?If A = {x ∈ ℕ : x is prime and x < 2}, what is A?If A = {x ∈ ℕ : x is prime, x is even, and x < 10}, then A is equal to:Which statement is necessary and sufficient for two sets to be equal?If A = {x ∈ ℕ : x ≤ 4} and B = {x ∈ ℤ : 1 ≤ x ≤ 4}, which statement is correct?Which option represents a non-empty set containing exactly one element?If A = {x ∈ ℕ : x is a three-digit number}, how many elements does A have?If A = {x ∈ ℕ : 100 < x < 999}, what type of set is A?Which set is not equal to ℤ but is still infinite?How many elements are in A = {x ∈ ℝ : x² − 4x + 4 = 0}?If A = {x ∈ ℤ : x² − 1 = 0} and B = {x ∈ ℕ : x² − 1 = 0}, which statement is correct?If A = {x ∈ ℕ : x is divisible by 11 and x < 11}, what is A?Which option shows that changing the order of elements does not change a set?If A = {x ∈ N : x ≤ 8 and x is not prime}, which set is A equal to?