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What interval does this inequality represent? $\newline$ $-1 \leq x \leq 4$ $\newline$ Choices: $\newline$ (A) $(-1, 4)$ $\newline$ (B) $(-1, 4]$ $\newline$ (C) $[-1, 4]$ $\newline$ (D) $[-1, 4)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

-1 \leq x \leq 4

\newline

Choices:

\newline

(A)

(-1, 4)

\newline

(B)

(-1, 4]

\newline

(C)

[-1, 4]

\newline

(D)

[-1, 4)

Identify Endpoints: Identify the endpoints of the interval for the inequality $-1 \leq x \leq 4$ . The endpoints are $-1$ and $4$ .
Check Inclusion: Check whether the endpoints are included in the interval. In the inequality $-1 \leq x \leq 4$ , both $-1$ and $4$ are included because of the ＂less than or equal to＂ signs ( $\leq$ ).
Determine Interval: Determine the interval that the inequality $-1 \leq x \leq 4$ represents. Since both endpoints are included, the interval is written with square brackets, indicating that $-1$ and $4$ are part of the interval. Therefore, the interval is $[-1, 4]$ .

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