What is the roster form of F={x: x∈Z and -2≤x<3}?
Answer and explanation
Correct answer: F={-2,-1,0,1,2}
The governing concept is roster form: list every member that satisfies the stated condition. Since x∈Z, only integers are allowed. The inequality -2≤x includes -2, while x<3 excludes 3. Therefore the integers from -2 through 2 are -2, -1, 0, 1, and 2. Option B misses -2 and includes 3, option C incorrectly includes 3, and option D includes -3, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
F={-2,-1,0,1,2}
Why is this the correct answer?
The governing concept is roster form: list every member that satisfies the stated condition. Since x∈Z, only integers are allowed. The inequality -2≤x includes -2, while x<3 excludes 3. Therefore the integers from -2 through 2 are -2, -1, 0, 1, and 2. Option B misses -2 and includes 3, option C incorrectly includes 3, and option D includes -3, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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