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What interval does this inequality represent? $\newline$ $2 < x < 9$ $\newline$ Choices: $\newline$ (A) $(2, 9]$ $\newline$ (B) $[2, 9]$ $\newline$ (C) $[2, 9)$ $\newline$ (D) $(2, 9)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

2 < x < 9

\newline

Choices:

\newline

(A)

(2, 9]

\newline

(B)

[2, 9]

\newline

(C)

[2, 9)

\newline

(D)

(2, 9)

Identify Endpoints: Identify the endpoints of the interval for the inequality $2 < x < 9$ . The endpoints are $2$ and $9$ .
Check Inclusion: Check whether the endpoints are included in the interval. In the inequality $2 < x < 9$ , both $2$ and $9$ are not included in the interval.
Determine Interval: Determine the interval that the inequality $2 < x < 9$ represents. Since $2$ is not included, we use an open parenthesis, and since $9$ is also not included, we use another open parenthesis. Therefore, the interval is $(2, 9)$ .

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