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If J = {x : x ∈ Z and |x| ≤ 2}, what is its roster form?
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Answer and explanation
Correct answer: J = {-2, -1, 0, 1, 2}
The condition |x| ≤ 2 means -2 ≤ x ≤ 2. Since x must be an integer, the complete list is -2, -1, 0, 1 and 2. Both endpoints are included because equality is allowed. Therefore option A is correct; options B, C and D omit one or more integers that satisfy the condition.
Frequently asked questions
What is the correct answer to this question?
J = {-2, -1, 0, 1, 2}
Why is this the correct answer?
The condition |x| ≤ 2 means -2 ≤ x ≤ 2. Since x must be an integer, the complete list is -2, -1, 0, 1 and 2. Both endpoints are included because equality is allowed. Therefore option A is correct; options B, C and D omit one or more integers that satisfy the condition.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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