Question

solve the inequality and graph the solution.
-24 > 2(r - 4)
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

-24>2r - 8

Step2: Add 8 to both sides

-24 + 8>2r-8 + 8
-16>2r

Step3: Divide both sides by 2

\frac{-16}{2}>\frac{2r}{2}
-8>r or r < - 8

To graph:

1. Mark - 8 on the number line.
2. Since the inequality is r < - 8, the endpoint at - 8 is open (a circle), and the line extends to the left of - 8.

Answer:

The solution of the inequality is r < - 8. On the number line, there is an open circle at - 8 and the line extends to the left.