Question

solve for m and graph the solution.\\(\frac{m + 12}{2} \leq 6\\) or \\(\frac{13m - 1}{2} > 6\\)\
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.\
-5 -4 -3 -2 -1 0 1 2 3 4

Explanation:

Step1: Solve first inequality

Multiply both sides by 2: $m + 12 \leq 12$. Subtract 12: $m \leq 0$.

Step2: Solve second inequality

Multiply both sides by 2: $13m - 1 > 12$. Add 1: $13m > 13$. Divide by 13: $m > 1$.

Step3: Graph the solution

Plot closed dot at 0, shade left; open dot at 1, shade right.

Answer:

$m \leq 0$ or $m > 1$
(Graph: Closed circle at 0 with ray extending left, open circle at 1 with ray extending right)