Q. What inequality represents this interval?[−7,−2)Choices:(A) −7≤x<−2(B) −7<x≤−2(C) −7<x<−2(D) −7≤x≤−2
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [−7,−2), which means −7 is included (as indicated by the square bracket) and −2 is not included (as indicated by the parenthesis).
Translate to Inequality: Translate the interval into an inequality. Since −7 is included, the inequality must use "\(\newline\)leq\(" for \)\(-7\)\(. Since \)\(-2\)\( is not included, the inequality must use "\)<\(" for \)\(-2\).
Write Correct Symbols: Write the inequality using the correct symbols. The inequality that represents the interval [−7,−2) is -7 \leq x < -2.