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What interval does this inequality represent? $\newline$ $-3 < x < 0$ $\newline$ Choices: $\newline$ (A) $(-3, 0]$ $\newline$ (B) $[-3, 0)$ $\newline$ (C) $(-3, 0)$ $\newline$ (D) $[-3, 0]$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

-3 < x < 0

\newline

Choices:

\newline

(A)

(-3, 0]

\newline

(B)

[-3, 0)

\newline

(C)

(-3, 0)

\newline

(D)

[-3, 0]

Identify Endpoints: Identify the endpoints of the interval for the inequality $-3 < x < 0$ . The endpoints are $-3$ and $0$ .
Check Inclusion: Check whether the endpoints are included or not. In the inequality $-3 < x < 0$ , neither $-3$ nor $0$ is included in the interval.
Determine Interval Type: Determine the interval that the inequality $-3 < x < 0$ represents. Since neither endpoint is included, the interval is open at both ends, which is represented by parentheses.
Write Interval Notation: Write the interval notation for the inequality $-3 < x < 0$ . The correct interval notation is $(-3, 0)$ .

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