To solve the inequality \( x - 0.3 < 3.2 \), we start by isolating \( x \):
- Add \( 0.3 \) to both sides:
\[ x < 3.2 + 0.3 \]
- Simplify the right side:
\[ x < 3.5 \]
Now, the solution to the inequality is \( x < 3.5 \).
To graph this solution on a number line:
- You would draw an open circle at \( 3.5 \) to indicate that \( 3.5 \) is not included in the solution.
- Then, shade the region to the left of \( 3.5 \), indicating that all numbers less than \( 3.5 \) are part of the solution.
If you have multiple graph options to choose from, look for a graph that has the following characteristics:
- An open circle at \( 3.5 \).
- A shaded line extending leftward from \( 3.5 \) towards negative infinity.
If you provide me with the options, I can help you identify which one corresponds to the solution \( x < 3.5 \).