Which option correctly shows A = {x : x ∈ ℤ, −1 ≤ x ≤ 3} in roster form?
Answer and explanation
Correct answer: {−1, 0, 1, 2, 3}
Because x is restricted to integers, only whole numbers and their negatives are considered; fractions and decimals are not included. The double inequality −1 ≤ x ≤ 3 includes both endpoints and every integer between them. Reading in order gives −1, 0, 1, 2, and 3. Thus the correct roster form is {−1, 0, 1, 2, 3}.
Frequently asked questions
What is the correct answer to this question?
{−1, 0, 1, 2, 3}
Why is this the correct answer?
Because x is restricted to integers, only whole numbers and their negatives are considered; fractions and decimals are not included. The double inequality −1 ≤ x ≤ 3 includes both endpoints and every integer between them. Reading in order gives −1, 0, 1, 2, and 3. Thus the correct roster form is {−1, 0, 1, 2, 3}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
