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What interval does this inequality represent? $\newline$ $-5 \leq x < 2$ $\newline$ Choices: $\newline$ (A) $[-5, 2]$ $\newline$ (B) $(-5, 2]$ $\newline$ (C) $(-5, 2)$ $\newline$ (D) $[-5, 2)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

-5 \leq x < 2

\newline

Choices:

\newline

(A)

[-5, 2]

\newline

(B)

(-5, 2]

\newline

(C)

(-5, 2)

\newline

(D)

[-5, 2)

Identify Endpoints: Identify the endpoints of the interval for the inequality $-5 \leq x < 2$ . The endpoints are $-5$ and $2$ .
Check Inclusion: Check whether the endpoints are included in the interval. For $-5 \leq x$ , $-5$ is included because of the ＂less than or equal to＂ sign ( $\leq$ ). For $x < 2$ , $2$ is not included because of the ＂less than＂ sign ( $<$ ).
Determine Interval: Determine the interval that the inequality $-5 \leq x < 2$ represents. Since $-5$ is included, we use a square bracket $[$ for $-5$ . Since $2$ is not included, we use a parenthesis $)$ for $2$ . The interval is $[-5, 2)$ .

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