solve for z and graph the solution.
8

Question

solve for z and graph the solution.
8 < z + 11 < 16
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.

Accepted Answer

# Explanation:
## Step1: Subtract 11 from all parts
$$
\begin{align*}
8-11&<z + 11-11<16-11\
-3&<z<5
\end{align*}
$$
## Step2: Graph the solution
On the number - line, we have an open circle at $z = - 3$ (because $z>-3$, not $z\geq - 3$) and an open circle at $z = 5$ (because $z<5$, not $z\leq5$), and we shade the region between them.

# Answer:
The solution of the inequality $8 < z + 11 < 16$ is $-3<z<5$. On the number - line, there are open circles at $-3$ and $5$ with the line segment between them shaded.

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QUESTION IMAGE

Question

Explanation:

Step1: Subtract 11 from all parts

Step2: Graph the solution

Answer: