Q. What inequality represents this interval?(−9,−5)Choices:(A) −9<x<−5(B) −9<x≤−5(C) −9≤x<−5(D) −9≤x≤−5
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is (−9,−5), which means that −9 is not included and −5 is not included.
Translate to Inequality: Translate the interval into an inequality. Since −9 is not included, the inequality must be strict on the left side, using "<". Similarly, since −5 is not included, the inequality must also be strict on the right side, using "<".
Write Inequality: Write the inequality using the information from the previous steps. The inequality that represents the interval (−9,−5) is -9 < x < -5.
Match with Choices: Match the inequality with the given choices. The correct inequality is (A) -9 < x < -5.