Which option is the roster form of I = {x : x is a negative integer and x > −4}?
Answer and explanation
Correct answer: I = {−3, −2, −1}
The governing concept is combining an integer classification with a strict inequality. Negative integers are less than zero, and the integers greater than −4 are −3, −2, −1, 0, 1, and so on; restricting them to negative integers leaves only −3, −2, and −1. The strict sign x > −4 excludes −4, while 0 is not negative. Therefore option A is the correct roster form.
Frequently asked questions
What is the correct answer to this question?
I = {−3, −2, −1}
Why is this the correct answer?
The governing concept is combining an integer classification with a strict inequality. Negative integers are less than zero, and the integers greater than −4 are −3, −2, −1, 0, 1, and so on; restricting them to negative integers leaves only −3, −2, and −1. The strict sign x > −4 excludes −4, while 0 is not negative. Therefore option A is the correct roster form.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
