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What inequality represents this interval? $\newline$ $(-\infty, 9]$ $\newline$ Choices: $\newline$ (A) $x \geq 9$ $\newline$ (B) x < 9 $\newline$ (C) x > 9 $\newline$ (D) $x \leq 9$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

(-\infty, 9]

\newline

Choices:

\newline

(A)

x \geq 9

\newline

(B)

x < 9

\newline

(C)

x > 9

\newline

(D)

x \leq 9

Identify Endpoints: Identify the endpoints of the interval \$-\infty, 9\]. The endpoints are $-\infty$ and $9$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the interval $(-\infty, 9]$ , $9$ is included because of the closed bracket.
Determine Inequality: Determine the inequality that the interval $(-\infty, 9]$ represents. Since $-\infty$ cannot be included as it is not a finite value and $9$ is included, the inequality is $x \leq 9$ .

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