Question
Solve for x. Graph the solution.
3x less than 9
.
.
.
Question content area right
Part 1
The solution is x less than
enter your response here.
3x less than 9
.
.
.
Question content area right
Part 1
The solution is x less than
enter your response here.
Answers
GPT-4o mini
To solve the inequality \( 3x < 9 \), we will start by isolating \( x \).
1. Divide both sides of the inequality by 3:
\[
x < \frac{9}{3}
\]
2. Simplify \( \frac{9}{3} \):
\[
x < 3
\]
So the solution is:
**Part 1: The solution is \( x < 3 \)**.
### Graphing the Solution
To graph the solution \( x < 3 \):
- Draw a number line.
- Place an open circle at 3 (indicating that 3 is not included in the solution).
- Shade to the left of 3, showing that all values less than 3 are included in the solution.
Here's a textual representation of the graph:
```
<---o================
0 1 2 3 4 5
```
The open circle at 3 denotes that \( 3 \) itself is not a part of the solution set, while the shaded area to the left indicates all values less than 3.
1. Divide both sides of the inequality by 3:
\[
x < \frac{9}{3}
\]
2. Simplify \( \frac{9}{3} \):
\[
x < 3
\]
So the solution is:
**Part 1: The solution is \( x < 3 \)**.
### Graphing the Solution
To graph the solution \( x < 3 \):
- Draw a number line.
- Place an open circle at 3 (indicating that 3 is not included in the solution).
- Shade to the left of 3, showing that all values less than 3 are included in the solution.
Here's a textual representation of the graph:
```
<---o================
0 1 2 3 4 5
```
The open circle at 3 denotes that \( 3 \) itself is not a part of the solution set, while the shaded area to the left indicates all values less than 3.