Mathematics
Sets and their representations
The Empty Set, Finite and Infinite Sets, Equal Sets
Practice questions
What is the roster form of K₁ = {x : x ∈ ℕ, x is divisible by 7, and 30 < x < 60}?If L₁ = {x : x ∈ ℤ and −5 < x ≤ 1}, which is the roster form of L₁?What is M₁ = {x : x is a positive multiple of 10 less than 100 and is also divisible by 25}?If N₁ = {x : x ∈ ℕ and x = 12/n, n ∈ ℕ}, what is the roster form of N₁?How many elements are in O₁ = {x : x is a distinct letter occurring in the word mathematics}?If P₁ = {x : x ∈ ℕ and x² − 10x + 21 = 0}, which is P₁?What is the roster form of Q₁ = {x : x ∈ ℤ, x² < 10, and x is even}?If R₁ = {x : x is a two-digit prime number and x < 20}, which is the roster form of R₁?What is the set S₁ = {x : x ∈ ℕ, x is a divisor of 30, but x is not even}?If T₁ = {x : x ∈ ℕ, x < 10, and both x and 10 − x are prime}, what is T₁?Which is the roster form of U₁ = {x : x ∈ ℕ and 20/x is also a natural number}?If V₁ = {x : x is a number from 1 to 30 whose sum of digits is 5}, what is V₁?What is the roster form of W₁ = {x : x ∈ ℤ and x² = 2x}?If X₁ = {x : x ∈ ℕ, x is a divisor of 42, and x > 6}, what is the roster form of X₁?Which is the roster form of Y₁ = {x : x is an integer from 1 to 20 and x is divisible by neither 2 nor 3}?If Z₁ = {x : x ∈ ℕ and x² + x = 20}, what is the correct roster form of Z₁?If A = {x : x ∈ ℕ and x² − 7x + 10 = 0}, what is the roster form of A?If C = {x : x ∈ ℤ, −3 < x ≤ 2}, how many elements does C have?What is the roster form of D = {x : x ∈ ℕ, x is a factor of 36, and x is odd}?If E = {x : x ∈ ℤ and x² < 10}, what is the roster form of E?