Q. What inequality represents this interval?[−6,−4]Choices:(A) −6≤x<−4(B) −6<x<−4(C) −6<x≤−4(D) −6≤x≤−4
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [−6,−4], which means −6 and −4 are the endpoints, and both are included in the interval because of the square brackets.
Translate to Inequality: Translate the interval into an inequality. Since both −6 and −4 are included, the inequality must use "less than or equal to" for both endpoints. This means the inequality will be −6≤x≤−4.
Match with Choices: Match the inequality with the given choices. The inequality −6≤x≤−4 corresponds to choice (D).