Question

solve for c and graph the solution. |8c + 520| + 8 > 208 click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled-in circles to empty circles, click on them. -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20

Explanation:

Step1: Isolate the absolute value

Subtract 8 from both sides:
$|8c + 520| + 8 - 8 > 208 - 8$
$|8c + 520| > 200$

Step2: Solve the compound inequality

Case 1: $8c + 520 > 200$
Subtract 520: $8c > 200 - 520$
$8c > -320$
Divide by 8: $c > -40$

Case 2: $8c + 520 < -200$
Subtract 520: $8c < -200 - 520$
$8c < -720$
Divide by 8: $c < -90$

Answer:

The solution is $c < -90$ or $c > -40$. To graph: draw an open circle at -90 with an arrow left, and an open circle at -40 with an arrow right.