If R={x: x is an integer and -4<x≤-1}, what is the roster form of R?
Answer and explanation
Correct answer: R={-3,-2,-1}
The inequality -4<x excludes -4 because x must be strictly greater than -4. The condition x≤-1 includes -1 because equality is allowed. The integers satisfying both conditions are therefore -3, -2, and -1. Option B incorrectly includes -4, option C omits -1, and option D includes the excluded endpoint -4 while omitting -1. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
R={-3,-2,-1}
Why is this the correct answer?
The inequality -4<x excludes -4 because x must be strictly greater than -4. The condition x≤-1 includes -1 because equality is allowed. The integers satisfying both conditions are therefore -3, -2, and -1. Option B incorrectly includes -4, option C omits -1, and option D includes the excluded endpoint -4 while omitting -1. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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