What interval does this inequality represent? -7 < x ≤ -1 Choices: (A)(-7, -1] (B)[-7, -1] (C)(-7, -1) (D)[-7, -1)

Identify Endpoints: Identify the endpoints of the interval for the inequality -7 < x ≤ -1. The endpoints are -7 and -1.Check Inclusion: Check whether the endpoints are included or not. In the inequality -7 < x ≤ -1, -7 is not included because the inequality is strict (indicated by ＂<＂), but -1 is included because the inequality is non-strict (indicated by ＂≤＂).Determine Interval Type: Determine the interval that the inequality -7 < x ≤ -1 represents. Since -7 is not included, we use a parenthesis ＂(＂. Since -1 is included, we use a bracket ＂]＂.Write Interval Notation: Write the interval notation based on the previous steps. The correct interval notation is (-7, -1].

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What interval does this inequality represent? $\newline$ -7 < x \leq -1 $\newline$ Choices: $\newline$ (A) $(-7, -1]$ $\newline$ (B) $[-7, -1]$ $\newline$ (C) $(-7, -1)$ $\newline$ (D) $[-7, -1)$

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Q. What interval does this inequality represent?

\newline

-7 < x \leq -1

\newline

Choices:

\newline

(A)

(-7, -1]

\newline

(B)

[-7, -1]

\newline

(C)

(-7, -1)

\newline

(D)

[-7, -1)

Identify Endpoints: Identify the endpoints of the interval for the inequality -7 < x \leq -1. The endpoints are $-7$ and $-1$ .
Check Inclusion: Check whether the endpoints are included or not. In the inequality -7 < x \leq -1, $-7$ is not included because the inequality is strict (indicated by ＂<＂), but $-1$ is included because the inequality is non-strict (indicated by ＂\leq＂).
Determine Interval Type: Determine the interval that the inequality -7 < x \leq -1 represents. Since $-7$ is not included, we use a parenthesis $($ . Since $-1$ is included, we use a bracket $]$ .
Write Interval Notation: Write the interval notation based on the previous steps. The correct interval notation is $(-7, -1]$ .