Question

solve for d and graph the solution.
-14d - 9 ≥ 5 or \\(\frac{d + 11}{4} > 3\\)
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.
-4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Solve first inequality

$-14d -9 \geq 5$
$-14d \geq 14$
$d \leq -1$ (reverse inequality when dividing by negative)

Step2: Solve second inequality

$\frac{d+11}{4} > 3$
$d+11 > 12$
$d > 1$

Answer:

$d \leq -1$ or $d > 1$
(Graph: Closed circle at -1, shaded left; open circle at 1, shaded right)