Question

solve the inequality and graph the solution.
1 ≥ (m - 1)/7
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: Multiply both sides by 7

$1\times7\geq\frac{m - 1}{7}\times7$
$7\geq m - 1$

Step2: Add 1 to both sides

$7+1\geq m-1 + 1$
$8\geq m$ or $m\leq8$

Answer:

The solution of the inequality is $m\leq8$. On the number - line, we plot a closed circle at $m = 8$ and draw a ray to the left.