Question

solve the inequality and graph
1 > \frac{h}{4}-1
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 1 to both sides

$1 + 1>\frac{h}{4}-1 + 1$
$2>\frac{h}{4}$

Step2: Multiply both sides by 4

$2\times4>\frac{h}{4}\times4$
$8 > h$ or $h<8$

Answer:

The solution of the inequality is $h < 8$. On the number - line, we plot an open circle at 8 (since the inequality is strict, $h$ cannot equal 8) and draw a ray to the left of 8.