What is the roster form of Q={x∈Z: x is even and -7<x<3}?
Answer and explanation
Correct answer: Q={-6,-4,-2,0,2}
The governing concept is converting a set description into roster form by applying every condition. The integers strictly between -7 and 3 are -6,-5,-4,-3,-2,-1,0,1,2. Selecting only the even integers gives -6,-4,-2,0,2. The endpoints -7 and 3 are excluded, and 0 is even, so option A is complete and correct.
Frequently asked questions
What is the correct answer to this question?
Q={-6,-4,-2,0,2}
Why is this the correct answer?
The governing concept is converting a set description into roster form by applying every condition. The integers strictly between -7 and 3 are -6,-5,-4,-3,-2,-1,0,1,2. Selecting only the even integers gives -6,-4,-2,0,2. The endpoints -7 and 3 are excluded, and 0 is even, so option A is complete and correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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