Q. What inequality represents this interval?(−3,5]Choices:(A) −3≤x<5(B) −3≤x≤5(C) −3<x<5(D) −3<x≤5
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is (−3,5], which means −3 is not included (denoted by the parenthesis), and 5 is included (denoted by the bracket).
Translate to Inequality: Translate the interval into an inequality. Since −3 is not included, the inequality must use a less than symbol for the lower bound. Since 5 is included, the inequality must use a less than or equal to symbol for the upper bound.
Write Correct Inequality: Write the inequality using the correct symbols. The inequality that represents the interval −3,5] is -3 < x \leq 5 .