Question

solve the inequality and graph the solution. 5c - 10 < 10 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.

Explanation:

Step1: Isolate the variable term

Add 10 to both sides.
$5c - 10 + 10 < 10 + 10$
$5c < 20$

Step2: Solve for c

Divide both sides by 5.
$\frac{5c}{5} < \frac{20}{5}$
$c < 4$

Step3: Graph setup

On the number line, plot an open circle at 4 (since the inequality is strict, $c$ cannot equal 4), then draw an arrow pointing left from 4 to represent all values less than 4.

Answer:

The solution to the inequality is $c < 4$. For the graph: plot an open endpoint at 4, then draw an arrow extending to the left along the number line to include all values smaller than 4.