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

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x \geq -8

\newline

Choices:

\newline

(A)

(-\infty, -8]

\newline

(B)

(-8, \infty)

\newline

(C)

(-\infty, -8)

\newline

(D)

[-8, \infty)

Identify Endpoints: Identify the endpoints of the interval for the inequality $x \geq -8$ . The endpoints are $-\infty$ and $-8$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality $x \geq -8$ , $-8$ is included in the interval because the inequality is greater than or equal to.
Determine Interval: Determine the interval that the inequality $x \geq -8$ represents. Since $-\infty$ cannot be included as it is not a finite value and $-8$ is included, the interval is $[-8, \infty)$ .

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