What is T={x∈Z: -6≤x<0 and x is even}?
Answer and explanation
Correct answer: T={-6,-4,-2}
The governing concept is intersection of an integer interval with the set of even integers. First list the integers satisfying -6≤x<0: -6,-5,-4,-3,-2,-1. Among them, the even integers are -6, -4, and -2. The endpoint 0 is excluded because the inequality is strict, and negative integers can still be even when divisible by 2. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
T={-6,-4,-2}
Why is this the correct answer?
The governing concept is intersection of an integer interval with the set of even integers. First list the integers satisfying -6≤x<0: -6,-5,-4,-3,-2,-1. Among them, the even integers are -6, -4, and -2. The endpoint 0 is excluded because the inequality is strict, and negative integers can still be even when divisible by 2. Therefore option A is correct.
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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