graph the solution to the inequality on the number line.
$|6x + 12|

Question

graph the solution to the inequality on the number line.
$|6x + 12| < 6$

Accepted Answer

# Explanation:
## Step1: Solve the inequality
$$
\begin{align*}
-6&<6x + 12<6\
-6-12&<6x+12 - 12<6-12\
-18&<6x<-6\
\frac{-18}{6}&<\frac{6x}{6}<\frac{-6}{6}\
-3&<x<-1
\end{align*}
$$
## Step2: Graph on the number line
On the number line, draw an open circle at $x = - 3$ (because $x>-3$, $x
eq - 3$) and an open circle at $x=-1$ (because $x < - 1$, $x
eq - 1$). Then shade the region between $x=-3$ and $x = - 1$.

# Answer:
The solution of the inequality $|6x + 12|<6$ is $-3<x<-1$. On the number line, there are open - circles at $-3$ and $-1$ with the line segment between them shaded.

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QUESTION IMAGE

Question

Explanation:

Step1: Solve the inequality

Step2: Graph on the number line

Answer: