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What interval does this inequality represent? $\newline$ $x \leq 6$ $\newline$ Choices: $\newline$ (A) $(-\infty, 6)$ $\newline$ (B) $(-\infty, 6]$ $\newline$ (C) $[6, \infty)$ $\newline$ (D) $(6, \infty)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

x \leq 6

\newline

Choices:

\newline

(A)

(-\infty, 6)

\newline

(B)

(-\infty, 6]

\newline

(C)

[6, \infty)

\newline

(D)

(6, \infty)

Identify Endpoints: Identify the endpoints of the interval for the inequality $x \leq 6$ . The endpoints are $-\infty$ and $6$ .
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality $x \leq 6$ , $6$ is included in the interval because the inequality is less than or equal to.
Determine Interval: Determine the interval that the inequality $x \leq 6$ represents. Since $-\infty$ cannot be included as it is not a finite value and $6$ is included, the interval is $(-\infty, 6]$ .

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