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What interval does this inequality represent? $\newline$ $x \geq -5$ $\newline$ Choices: $\newline$ (A) $(-5, \infty)$ $\newline$ (B) $[-5, \infty)$ $\newline$ (C) $(-\infty, -5)$ $\newline$ (D) $(-\infty, -5]$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x \geq -5

\newline

Choices:

\newline

(A)

(-5, \infty)

\newline

(B)

[-5, \infty)

\newline

(C)

(-\infty, -5)

\newline

(D)

(-\infty, -5]

Identify Endpoints: Identify the endpoints of the interval for the inequality $x \geq -5$ . The endpoints are $-5$ and $\infty$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality $x \geq -5$ , $-5$ is included in the interval because the inequality is greater than or equal to.
Determine Interval: Determine the interval that the inequality $x \geq -5$ represents. Since $-5$ is included, we use a square bracket for $-5$ . $\infty$ is never included, so we always use a parenthesis for $\infty$ . The interval is $[-5, \infty)$ .

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