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What interval does this inequality represent? $\newline$ $4 \leq x < 8$ $\newline$ Choices: $\newline$ (A) $[4, 8)$ $\newline$ (B) $[4, 8]$ $\newline$ (C) $(4, 8]$ $\newline$ (D) $(4, 8)$

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Interval notation

Full solution

Q. What interval does this inequality represent?

\newline

4 \leq x < 8

\newline

Choices:

\newline

(A)

[4, 8)

\newline

(B)

[4, 8]

\newline

(C)

(4, 8]

\newline

(D)

(4, 8)

Identify Endpoints: Identify the endpoints of the interval for the inequality $4 \leq x < 8$ . The endpoints are $4$ and $8$ .
Check Inclusion: Check whether the endpoints are included or not. In the inequality $4 \leq x < 8$ , $4$ is included (as indicated by the ＂less than or equal to＂ symbol $\leq$ ), but $8$ is not included (as indicated by the ＂less than＂ symbol $<$ ).
Determine Interval: Determine the interval that the inequality $4 \leq x < 8$ represents. Since $4$ is included, we use a square bracket [ for $4$ . Since $8$ is not included, we use a parenthesis ) for $8$ . The interval is therefore $[4, 8)$ .

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