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

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x > -2

\newline

Choices:

\newline

(A)

(-\infty, -2]

\newline

(B)

[-2, \infty)

\newline

(C)

(-2, \infty)

\newline

(D)

(-\infty, -2)

Identify Endpoints: Identify the endpoints of the interval for the inequality $x > -2$ . The endpoints are $-\infty$ and $-2$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality $x > -2$ , $-2$ is not included in the interval.
Determine Interval: Determine the interval that the inequality $x > -2$ represents. Since $-\infty$ cannot be included as it is not a finite value and $-2$ is not included, the interval is $(-2, \infty)$ .

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