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What interval does this inequality represent? $\newline$ $-8 < x < -5$ $\newline$ Choices: $\newline$ (A) $(-8, -5]$ $\newline$ (B) $(-8, -5)$ $\newline$ (C) $[-8, -5]$ $\newline$ (D) $[-8, -5)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

-8 < x < -5

\newline

Choices:

\newline

(A)

(-8, -5]

\newline

(B)

(-8, -5)

\newline

(C)

[-8, -5]

\newline

(D)

[-8, -5)

Identify Endpoints: Identify the endpoints of the interval for the inequality $-8 < x < -5$ . The endpoints are $-8$ and $-5$ .
Check Inclusion: Check whether the endpoints are included in the interval. In the inequality $-8 < x < -5$ , both $-8$ and $-5$ are not included in the interval.
Determine Interval Type: Determine the interval that the inequality $-8 < x < -5$ represents. Since both endpoints are not included, the interval is open at both ends, which is represented by parentheses.
Write Interval Notation: Write the interval using the correct notation. The interval is $(-8, -5)$ .

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