Q. What interval does this inequality represent?−9≤x≤−3Choices:(A) [−9,−3)(B) (−9,−3)(C) [−9,−3](D) (−9,−3]
Identify Endpoints: Identify the endpoints of the interval for the inequality −9≤x≤−3. The endpoints are −9 and −3.
Check Inclusion: Check whether the endpoints are included in the interval. In the inequality −9≤x≤−3, both −9 and −3 are included because of the "less than or equal to" signs (≤).
Determine Interval: Determine the interval that the inequality −9≤x≤−3 represents. Since both endpoints are included, the interval is written with square brackets, which means it is a closed interval at both ends. Therefore, the interval is [−9,−3].