Question

solve the inequality and graph the solution.
5k - 10 > 5
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Add 10 to both sides

$5k - 10 + 10 > 5 + 10$
$5k > 15$

Step2: Divide by 5 on both sides

$\frac{5k}{5} > \frac{15}{5}$
$k > 3$

Step3: Graph the solution

On the number line, plot an open circle at 3 (since 3 is not included in the solution), then draw an arrow pointing to the right (toward all values greater than 3).

Answer:

The solution to the inequality is $k > 3$.
For the graph: Open endpoint at 3, arrow pointing right along the number line.