What is the roster form of Q = {x : x ∈ Z, x is odd and -5 < x < 5}?
Answer and explanation
Correct answer: Q = {-3, -1, 1, 3}
The governing concept is roster form: list every integer satisfying all conditions, without adding endpoints excluded by strict inequalities. From -5<x<5, the possible integers are -4 through 4. Selecting the odd ones gives -3, -1, 1 and 3. Thus option A is correct. Option B wrongly includes -5 and 5, C lists even integers, and D ignores the odd-number condition.
Frequently asked questions
What is the correct answer to this question?
Q = {-3, -1, 1, 3}
Why is this the correct answer?
The governing concept is roster form: list every integer satisfying all conditions, without adding endpoints excluded by strict inequalities. From -5<x<5, the possible integers are -4 through 4. Selecting the odd ones gives -3, -1, 1 and 3. Thus option A is correct. Option B wrongly includes -5 and 5, C lists even integers, and D ignores the odd-number condition.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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