Question

solve the inequality and graph the solution.
$\frac{h}{3}-17 < - 19$
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: Add 17 to both sides

$\frac{h}{3}-17 + 17< - 19+17$
$\frac{h}{3}<-2$

Step2: Multiply both sides by 3

$3\times\frac{h}{3}<3\times(-2)$
$h < - 6$

Answer:

The solution of the inequality is $h < - 6$. On the number - line, we use an open circle at $-6$ (because the inequality is strict, $h$ cannot equal $-6$) and draw a ray to the left of $-6$.