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What inequality represents this interval? $\newline$ $[-7, -2)$ $\newline$ Choices: $\newline$ (A) $-7 \leq x < -2$ $\newline$ (B) $-7 < x \leq -2$ $\newline$ (C) $-7 < x < -2$ $\newline$ (D) $-7 \leq x \leq -2$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[-7, -2)

\newline

Choices:

\newline

(A)

-7 \leq x < -2

\newline

(B)

-7 < x \leq -2

\newline

(C)

-7 < x < -2

\newline

(D)

-7 \leq x \leq -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 $-7 \leq x < -2$ .

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