Question

oh your solution.

1. $-9 < 4x + 7 \leq 17$

Explanation:

Step1: Subtract 7 from all parts

To isolate the term with \( x \), we subtract 7 from each part of the compound inequality.

$$ -9 - 7 < 4x + 7 - 7 \leq 17 - 7 $$

Simplifying each part:

$$ -16 < 4x \leq 10 $$

Step2: Divide all parts by 4

To solve for \( x \), we divide each part of the inequality by 4.

$$ \frac{-16}{4} < \frac{4x}{4} \leq \frac{10}{4} $$

Simplifying each part:

$$ -4 < x \leq \frac{5}{2} $$

Answer:

\( -4 < x \leq \frac{5}{2} \)