Question

solve the inequality and graph the solution.
1 + 3m < 10
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Subtract 1 from both sides

$1 + 3m - 1 < 10 - 1$
$3m < 9$

Step2: Divide by 3 on both sides

$\frac{3m}{3} < \frac{9}{3}$
$m < 3$

Step3: Graph the solution

On the number line, plot an open circle at 3 (since the inequality is strict, no equality), then draw a ray pointing left from 3 to represent all values less than 3.

Answer:

The solution to the inequality is $m < 3$. For the graph: place an open endpoint at 3, and draw a ray extending to the left from this point.