Question

solve the inequality and graph the solution. -16 > 8(a - 10) 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: Expand the right - hand side

$-16>8a - 80$

Step2: Add 80 to both sides

$-16 + 80>8a-80 + 80$
$64>8a$

Step3: Divide both sides by 8

$\frac{64}{8}>\frac{8a}{8}$
$8>a$ or $a < 8$

Answer:

The solution of the inequality is $a < 8$. On the number - line, we use an open circle at 8 (because the inequality is strict, $a$ cannot equal 8) and shade the line to the left of 8.