Question

solve the inequality and graph the solution.
1 + 3m > 7
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 term with $m$

Subtract 1 from both sides.
$1 + 3m - 1 > 7 - 1$
$3m > 6$

Step2: Solve for $m$

Divide both sides by 3.
$\frac{3m}{3} > \frac{6}{3}$
$m > 2$

Step3: Describe the graph

The solution is all values greater than 2. On the number line, plot an open circle at 2 (since 2 is not included) and draw an arrow pointing to the right (towards larger numbers).

Answer:

The solution to the inequality is $m > 2$. For the graph: mark an open endpoint at 2 on the number line, then draw a ray extending to the right from this endpoint.