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

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x < -3

\newline

Choices:

\newline

(A)

(-3, \infty)

\newline

(B)

(-\infty, -3)

\newline

(C)

[-3, \infty)

\newline

(D)

(-\infty, -3]

Identify Endpoints: Identify the endpoints of the interval for the inequality $x < -3$ . The endpoints are $-\infty$ and $-3$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality $x < -3$ , the value $-3$ is not included in the interval because the inequality is strict (it does not include the equal part).
Determine Interval: Determine the interval that the inequality $x < -3$ represents. Since $-\infty$ cannot be included as it is not a finite value and $-3$ is not included, the interval is open on both ends. Therefore, the interval is $(-\infty, -3)$ .

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