Question

solve for d and graph the solution.
-13 < 3d - 7 < -10
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.

Explanation:

Step1: Add 7 to all parts

Add 7 to each part of the compound - inequality $-13<3d - 7<-10$.
$-13 + 7<3d-7 + 7<-10 + 7$
$-6<3d<-3$

Step2: Divide all parts by 3

Divide each part of the inequality $-6<3d<-3$ by 3.
$\frac{-6}{3}<\frac{3d}{3}<\frac{-3}{3}$
$-2 < d<-1$

Answer:

The solution of the inequality is $-2 < d<-1$. On the number - line, we use open circles at $d=-2$ and $d = - 1$ (since the inequality is strict, i.e., $<$ and not $\leq$) and draw a line segment between them.