Question

solve for a and graph the solution.
2 ≥ (5a + 6)/3 > -3
plot the endpoints. select an endpoint to change the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Multiply each part by 3

$2\times3\geq\frac{5a + 6}{3}\times3>-3\times3$
$6\geq5a + 6>-9$

Step2: Subtract 6 from each part

$6-6\geq5a + 6-6>-9 - 6$
$0\geq5a>-15$

Step3: Divide each part by 5

$\frac{0}{5}\geq\frac{5a}{5}>\frac{-15}{5}$
$0\geq a>-3$

Answer:

The solution is $-3 < a\leq0$. To graph, place an open - circle at $a=-3$ (because $a > - 3$) and a closed - circle at $a = 0$ (because $a\leq0$) and draw a line segment between them on the number line.