Which is the roster form of K={x:x∈Z, -3<x≤2}?
Answer and explanation
Correct answer: K={-2,-1,0,1,2}
The condition x∈Z restricts x to integers. Since -3<x, the value -3 is excluded and the first possible integer is -2. Since x≤2, the endpoint 2 is included. Listing all integers from -2 through 2 gives K={-2,-1,0,1,2}. Option A wrongly includes -3, option C omits 0, and option D omits 2, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
K={-2,-1,0,1,2}
Why is this the correct answer?
The condition x∈Z restricts x to integers. Since -3<x, the value -3 is excluded and the first possible integer is -2. Since x≤2, the endpoint 2 is included. Listing all integers from -2 through 2 gives K={-2,-1,0,1,2}. Option A wrongly includes -3, option C omits 0, and option D omits 2, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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