Question

solve the inequality and graph the solution.
1 ≤ (k - 3)/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: Multiply both sides by 5

$1\times5\leq\frac{k - 3}{5}\times5$
$5\leq k - 3$

Step2: Add 3 to both sides

$5+3\leq k-3 + 3$
$8\leq k$ or $k\geq8$

Answer:

The solution of the inequality is $k\geq8$. On the number - line, we place a closed circle at 8 (because the inequality is $\geq$) and draw a ray to the right of 8.