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

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x \geq 2

\newline

Choices:

\newline

(A)

[2, \infty)

\newline

(B)

(-\infty, 2)

\newline

(C)

(2, \infty)

\newline

(D)

(-\infty, 2]

Identify endpoints: Identify the endpoints of the interval for the inequality $x \geq 2$ . The endpoints are $2$ and $\infty$ .
Check inclusion: Check whether the finite endpoint is included or not. In the inequality $x \geq 2$ , $2$ is included in the interval because the inequality is greater than or equal to.
Determine interval: Determine the interval that the inequality $x \geq 2$ represents. Since $2$ is included and $\infty$ cannot be included as it is not a finite value, the interval is $[2, \infty)$ .

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