Question

solve the inequality and graph the solution. 1≥m - 5. 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 5 to both sides of the inequality $1\geq m - 5$.
$1+5\geq m- 5+5$
$6\geq m$ or $m\leq6$

Answer:

The solution of the inequality is $m\leq6$. On the number - line, we plot a closed circle at $m = 6$ (since the inequality is $\leq$) and draw a ray to the left of 6.