Precalculus: Mathematics for Calculus, 7th Edition

$[4.5, 5)$ Refer to the attached image for the graph.
Subtract 8 to each part to have: $\\-2-8 \lt 8-2x-8 \le -1-8 \\-10 \lt -2x \le -9$ Divide $-2$ to each part. Note that since you are dividing a negative to the inequality, the inequality symbols will flip. Thus, $\\\frac{-10}{-2} \gt x \gt \frac{-9}{-2} \\5 \gt x \ge 4.5 \\4.5 \le x \lt 5$