Choose the roster form of X = {x : x is an integer and −2 ≤ x ≤ 2}.
Answer and explanation
Correct answer: X = {−2, −1, 0, 1, 2}
The governing idea is roster representation: list every element satisfying the stated rule. Integers include negative numbers, zero, and positive numbers. Because both inequalities are inclusive, the endpoints −2 and 2 must be included. Listing all integers from −2 through 2 gives −2, −1, 0, 1, and 2. Hence option A is the complete and correct roster form.
Frequently asked questions
What is the correct answer to this question?
X = {−2, −1, 0, 1, 2}
Why is this the correct answer?
The governing idea is roster representation: list every element satisfying the stated rule. Integers include negative numbers, zero, and positive numbers. Because both inequalities are inclusive, the endpoints −2 and 2 must be included. Listing all integers from −2 through 2 gives −2, −1, 0, 1, and 2. Hence option A is the complete and correct roster form.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
