Question

solve for r and graph the solution.
10 < r + 20 < 12
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.
submit

Explanation:

Step1: Subtract 20 from all parts

Subtract 20 from each part of the inequality \(10 < r + 20 < 12\).
For the left - hand side: \(10-20For the right - hand side: \(r + 20-20<12 - 20\), which simplifies to \(r<-8\).

Answer:

The solution of the inequality \(10 < r + 20 < 12\) is \(-10 < r<-8\). On the number - line, we have an open circle at \(r=-10\) (because \(r\) is greater than \(-10\), not greater than or equal to) and an open circle at \(r = - 8\) (because \(r\) is less than \(-8\), not less than or equal to), and the line segment between them is shaded.