graph the solution to the inequality on the number line.
|4x + 12|

Question

graph the solution to the inequality on the number line.
|4x + 12| < 16

Accepted Answer

# Explanation:
## Step1: Solve the inequality
$$
\begin{align*}
-16&<4x + 12<16\
-16-12&<4x<16 - 12\
-28&<4x<4\
\frac{-28}{4}&<x<\frac{4}{4}\
-7&<x<1
\end{align*}
$$
## Step2: Graph the solution
On the number line, draw an open circle at $x = - 7$ and $x = 1$ (because the inequality is strict, i.e., $ <$ not $ \leq$). Then shade the region between $x=-7$ and $x = 1$.

# Answer:
The solution of the inequality $|4x + 12|<16$ is $-7<x<1$. On the number - line, open circles at $-7$ and $1$ with the line segment between them shaded.

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QUESTION IMAGE

Question

Explanation:

Step1: Solve the inequality

Step2: Graph the solution

Answer: