Question

solve for m and graph the solution.
10m + 13 < 13 or m - 8 ≥ -4
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.

Explanation:

Step1: Solve the first inequality

Subtract \(13\) from both sides of \(10m + 13<13\):
\(10m+13 - 13<13 - 13\)
\(10m<0\)
Divide both sides by \(10\):
\(m < 0\)

Step2: Solve the second inequality

Add \(8\) to both sides of \(m - 8\geq - 4\):
\(m-8 + 8\geq - 4+8\)
\(m\geq4\)

Answer:

The solution of the compound - inequality \(10m + 13 < 13\) or \(m - 8\geq - 4\) is \(m < 0\) or \(m\geq4\). On the number - line, for \(m < 0\), we have an open circle at \(m = 0\) and a ray pointing to the left. For \(m\geq4\), we have a closed circle at \(m = 4\) and a ray pointing to the right.