Q. What interval does this inequality represent?−4<x≤1Choices:(A)(−4,1)(B)(−4,1](C)[−4,1)(D)[−4,1]
Identify Endpoints: Identify the endpoints of the interval for the inequality -4 < x \leq 1. The endpoints are −4 and 1.
Check Inclusion: Check whether the endpoints are included or not. In the inequality -4 < x \leq 1, −4 is not included because the inequality is strict (<), but 1 is included because the inequality is non-strict (≤).
Determine Interval: Determine the interval that the inequality -4 < x \leq 1 represents. Since −4 is not included, we use a parenthesis (\. Since 1 is included, we use a bracket ]. Therefore, the interval is (−4,1].