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

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[-4, 4]

\newline

Choices:

\newline

(A)

-4 \leq x < 4

\newline

(B)

-4 < x < 4

\newline

(C)

-4 < x \leq 4

\newline

(D)

-4 \leq x \leq 4

Identify Endpoints and Inclusion: Identify the endpoints of the interval and whether they are included in the interval. The interval is $[-4, 4]$ , which means that both endpoints, $-4$ and $4$ , are included.
Translate to Inequality: Translate the interval notation into an inequality. Since $-4$ is included, the inequality must use ＂ $ext{≤}$ ＂ for the lower bound. Since $4$ is included, the inequality must also use ＂ $ext{≤}$ ＂ for the upper bound. Therefore, the inequality should express that $x$ is greater than or equal to $-4$ and less than or equal to $4$ .
Match with Choices: Match the correct inequality with the given choices. The inequality that represents the interval $[-4, 4]$ is $-4 \leq x \leq 4$ .

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\newline

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