Question

solve the inequality and graph the solution.
-2(r - 8) < 8
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: Distribute -2

$-2(r - 8)=-2r+16$, so the inequality becomes $-2r + 16<8$.

Step2: Subtract 16 from both sides

$-2r+16 - 16<8 - 16$, which simplifies to $-2r<-8$.

Step3: Divide both sides by -2 and reverse the inequality sign

Since dividing by a negative number, we get $r > 4$.

Answer:

The solution of the inequality is $r>4$. On the number - line, we plot an open - circle at $r = 4$ and draw a ray to the right.