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What inequality represents this interval? $\newline$ $[5, \infty)$ $\newline$ Choices: $\newline$ (A) $x \leq 5$ $\newline$ (B) $x \geq 5$ $\newline$ (C) $x > 5$ $\newline$ (D) $x < 5$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[5, \infty)

\newline

Choices:

\newline

(A)

x \leq 5

\newline

(B)

x \geq 5

\newline

(C)

x > 5

\newline

(D)

x < 5

Identify Endpoints: Identify the endpoints of the interval $[5, \infty)$ . The endpoints are $5$ and $\infty$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the interval $[5, \infty)$ , $5$ is included because of the square bracket $[$ which indicates that the endpoint is part of the interval.
Determine Inequality: Determine the inequality that the interval $[5, \infty)$ represents. Since $5$ is included and the interval extends to infinity, the inequality must allow for $x$ to be equal to $5$ and all values greater than $5$ .
Match with Interval: Match the correct inequality with the interval. The interval $[5, \infty)$ corresponds to the inequality $x \geq 5$ , which includes $5$ and all numbers greater than $5$ .

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\newline

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\newline

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