solve for x and graph the solution on the number line below. 16

Question

solve for x and graph the solution on the number line below. 16 < 3x + 7 ≤ 25 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Accepted Answer

# Explanation:
## Step1: Subtract 7 from all parts
$$
\begin{align*}
16 - 7&<3x+7 - 7\leq25 - 7\
9&<3x\leq18
\end{align*}
$$
## Step2: Divide all parts by 3
$$
\begin{align*}
\frac{9}{3}&<\frac{3x}{3}\leq\frac{18}{3}\
3&<x\leq6
\end{align*}
$$

# Answer:
Inequality Notation: $3 < x\leq6$

To graph on the number - line:
- Draw an open circle at $x = 3$ (because $x>3$, the value $x = 3$ is not included in the solution set).
- Draw a closed circle at $x = 6$ (because $x\leq6$, the value $x = 6$ is included in the solution set).
- Connect the two points with a line segment.

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QUESTION IMAGE

Question

Explanation:

Step1: Subtract 7 from all parts

Step2: Divide all parts by 3

Answer: