If B={x:x∈Z, |x|<3}, what is the roster form of B?
Answer and explanation
Correct answer: B={-2,-1,0,1,2}
For an integer x, the inequality |x|<3 means that x is less than 3 units from zero. Equivalently, −3<x<3. The integers in this open interval are −2, −1, 0, 1, and 2, so option B is correct. The endpoints −3 and 3 are excluded, while option C wrongly omits zero and option D omits negative integers.
Frequently asked questions
What is the correct answer to this question?
B={-2,-1,0,1,2}
Why is this the correct answer?
For an integer x, the inequality |x|<3 means that x is less than 3 units from zero. Equivalently, −3<x<3. The integers in this open interval are −2, −1, 0, 1, and 2, so option B is correct. The endpoints −3 and 3 are excluded, while option C wrongly omits zero and option D omits negative integers.
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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