Question

solve the inequality and graph the solution.
m - 8 > 1
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: Isolate the variable \(m\)

Add \(8\) to both sides of the inequality \(m - 8>1\).
$$m-8 + 8>1 + 8$$

Step2: Simplify

Simplify the left - hand side \(m-8 + 8=m\) and the right - hand side \(1 + 8 = 9\). So, \(m>9\).

To graph \(m>9\):

• The endpoint is \(m = 9\). Since the inequality is \(>\) (not \(\geq\)), we use an open circle at \(9\).
• Then we draw a ray to the right of \(9\) (because \(m\) is greater than \(9\)).

Answer:

The solution of the inequality is \(m>9\). On the number - line, we have an open circle at \(9\) and a ray extending to the right.