If Q = {x : x is an integer and -2 < x < 2}, what is the roster form of Q?
Answer and explanation
Correct answer: Q = {-1, 0, 1}
The variable must be an integer strictly greater than -2 and strictly less than 2. The integers between these bounds are -1, 0, and 1. The endpoints -2 and 2 are excluded because the inequalities use < rather than ≤. Hence option A is correct. B and C wrongly include -2 or 2, while D omits -1 and includes the excluded value 2.
Frequently asked questions
What is the correct answer to this question?
Q = {-1, 0, 1}
Why is this the correct answer?
The variable must be an integer strictly greater than -2 and strictly less than 2. The integers between these bounds are -1, 0, and 1. The endpoints -2 and 2 are excluded because the inequalities use < rather than ≤. Hence option A is correct. B and C wrongly include -2 or 2, while D omits -1 and includes the excluded value 2.
Which subject and chapter does this question cover?
This is a Class 11 Mathematics question. Chapter: Sequences and Series. Topic: Relationship between A.M. and G.M..
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