Question

solve the inequality and graph the solution.
-1 ≤ (q + 2)/4
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.

Explanation:

Step1: Multiply both sides by 4

$-1\times4\leq\frac{q + 2}{4}\times4$
$-4\leq q + 2$

Step2: Subtract 2 from both sides

$-4-2\leq q+2 - 2$
$-6\leq q$

Answer:

The solution is $q\geq - 6$. On the number - line, we plot a closed circle at $-6$ (since the inequality is $\geq$) and draw a ray to the right of $-6$.