Question

solve the inequality and graph the solution.

m - 19 > -15

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.

save answer

Explanation:

Step1: Isolate the variable \(m\)

Add \(19\) to both sides of the inequality \(m - 19>-15\).
Using the addition property of inequalities: \(m-19 + 19>-15 + 19\).
Simplify to get \(m>4\).

Step2: Graph the solution

On the number - line, since \(m>4\), we use an open circle at \(m = 4\) (because \(4\) is not included in the solution set, as the inequality is strict, \(>\) not \(\geq\)) and draw a ray to the right of \(4\) (towards the positive infinity).

Answer:

The solution of the inequality \(m - 19>-15\) is \(m>4\). On the number - line, there is an open circle at \(4\) and a ray extending to the right.