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What inequality represents this interval? $\newline$ $[-6, -4]$ $\newline$ Choices: $\newline$ (A) $-6 \leq x < -4$ $\newline$ (B) $-6 < x < -4$ $\newline$ (C) $-6 < x \leq -4$ $\newline$ (D) $-6 \leq x \leq -4$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[-6, -4]

\newline

Choices:

\newline

(A)

-6 \leq x < -4

\newline

(B)

-6 < x < -4

\newline

(C)

-6 < x \leq -4

\newline

(D)

-6 \leq x \leq -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 $-6 \leq x \leq -4$ .
Match with Choices: Match the inequality with the given choices. The inequality $-6 \leq x \leq -4$ corresponds to choice (D).

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