Question

solve the inequality and graph the solution.
\\(\frac{m}{4} + 7 < 6\\)
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: Subtract 7 from both sides

$\frac{m}{4} + 7 - 7 < 6 - 7$
$\frac{m}{4} < -1$

Step2: Multiply by 4 on both sides

$\frac{m}{4} \times 4 < -1 \times 4$
$m < -4$

Step3: Graph setup for solution

On the number line, plot an open circle at $m=-4$ (since the inequality is strict, no equality), then draw an arrow pointing left (to represent all values less than -4).

Answer:

The solution to the inequality is $m < -4$.
For the graph: Mark an open endpoint at -4, then draw an arrow extending to the left along the number line.