solve the compound inequality and graph the solution set.
-11

Question

solve the compound inequality and graph the solution set.
-11 < 2x - 5 < -1
solution:
graph:

Accepted Answer

# Explanation:
## Step1: Add 5 to all parts
$$
\begin{align*}
-11 + 5&<2x-5 + 5<-1 + 5\
-6&<2x<4
\end{align*}
$$
## Step2: Divide all parts by 2
$$
\begin{align*}
\frac{-6}{2}&<\frac{2x}{2}<\frac{4}{2}\
-3&<x<2
\end{align*}
$$

# Answer:
The solution of the compound inequality is $-3 < x < 2$. The correct graph is the one with an open - circle at $-3$, an open - circle at $2$, and a red line connecting them (the third option in the first row of the graph choices).

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QUESTION IMAGE

Question

Explanation:

Step1: Add 5 to all parts

Step2: Divide all parts by 2

Answer: