Question

solve the compound inequality.
$5<2x + 5<11$
graph the solution on the number line.

Explanation:

Step1: Subtract 5 from all parts

$5-5 < 2x+5-5 < 11-5$
Simplify to get: $0 < 2x < 6$

Step2: Divide all parts by 2

$\frac{0}{2} < \frac{2x}{2} < \frac{6}{2}$
Simplify to get: $0 < x < 3$

Step3: Graph the solution

On the number line, draw open circles at $0$ and $3$, then shade the region between them.

Answer:

The solution to the inequality is $0 < x < 3$. For the graph: mark open circles at 0 and 3 on the provided number line, and shade the segment connecting these two points.