Question

solve the inequality and graph the solution.
17 < 13(h - 2) - 9
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Simplify the right - hand side

$$17<13h - 26 - 9$$
$$17<13h - 35$$

Step2: Add 35 to both sides

$$17 + 35<13h-35 + 35$$
$$52<13h$$

Step3: Divide both sides by 13

$$\frac{52}{13}<\frac{13h}{13}$$
$$4 < h$$

Answer:

The solution of the inequality is \(h>4\). On the number line, we plot an open circle at \(h = 4\) (because the inequality is strict, \(h
eq4\)) and draw a ray to the right of \(4\) to represent all values of \(h\) greater than \(4\).