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What inequality represents this interval? $\newline$ $[1, 8]$ $\newline$ Choices: $\newline$ (A) $1 < x < 8$ $\newline$ (B) $1 \leq x < 8$ $\newline$ (C) $1 \leq x \leq 8$ $\newline$ (D) $1 < x \leq 8$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[1, 8]

\newline

Choices:

\newline

(A)

1 < x < 8

\newline

(B)

1 \leq x < 8

\newline

(C)

1 \leq x \leq 8

\newline

(D)

1 < x \leq 8

Identify Interval Type: Identify the type of interval given. The interval $[1, 8]$ has square brackets, which means both endpoints are included in the interval.
Translate to Inequality: Translate the interval into an inequality. Since $1$ is included, we use the symbol ＂ $ext{≤}$ ＂ for the lower bound. Since $8$ is also included, we use the symbol ＂ $ext{≤}$ ＂ for the upper bound. Therefore, the inequality should express that $x$ is greater than or equal to $1$ and less than or equal to $8$ .
Write Correct Inequality: Write down the inequality that matches the interval. The correct inequality that represents the interval $[1, 8]$ is $1 \leq x \leq 8$ .

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