Q. What interval does this inequality represent?x<−3Choices:(A) (−3,∞)(B) (−∞,−3)(C) [−3,∞)(D) (−∞,−3]
Identify Endpoints: Identify the endpoints of the interval for the inequality x < -3. The endpoints are −∞ and −3.
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x < -3, the value −3 is not included in the interval because the inequality is strict (it does not include the equal part).
Determine Interval: Determine the interval that the inequality x < -3 represents. Since −∞ cannot be included as it is not a finite value and −3 is not included, the interval is open on both ends. Therefore, the interval is (−∞,−3).