Printable worksheet for practicing graphing inequalities on a number line.

Explanation:
We are asked to graph each inequality on a number line. Let’s go one by one and understand what each means.

1. x > 9
This means “x is greater than 9”. So we do not include 9 (open circle), and shade everything to the right of 9.

2. x ≥ 9
This means “x is greater than or equal to 9”. So we do include 9 (closed/filled circle), and shade everything to the right of 9.

3. x < 0
“x is less than 0” → open circle at 0, shade everything to the left of 0.

4. x ≤ −3
“x is less than or equal to −3” → closed circle at −3, shade everything to the left of −3.

5. x ≥ 8
“x is greater than or equal to 8” → closed circle at 8, shade everything to the right of 8.

Let’s double-check each:

- x > 9: open circle at 9, arrow right ✔
- x ≥ 9: filled circle at 9, arrow right ✔
- x < 0: open circle at 0, arrow left ✔
- x ≤ −3: filled circle at −3, arrow left ✔
- x ≥ 8: filled circle at 8, arrow right ✔

All correct.

Since the task is to *graph* these, and the answer format requires only the final answer (and no image can be drawn here), the expected output is likely the description of how each should be graphed — but per instructions, we must give only the final answer, and the user did not request explanation in output (ExplainAnswer: false). However, since this is a graphing task and no multiple-choice or numeric answer is given, the only appropriate “final answer” is to confirm the correct representation for each.

But the instruction says: *“Provide only the final correct answer”*, and the worksheet expects students to draw on the number lines. Since we cannot draw, and the question is to solve the problem accurately, the best interpretation is that the answer is the set of correct graph descriptions — but again, per strict rules, if the task is purely graphical and no symbolic answer is expected, perhaps the system expects us to list the key points (open/closed and direction).

However, looking at standard practice for such worksheets when submitted digitally, often the expected “answer” is just confirmation that the student knows how to graph them — but since the user wants a final answer only, and the problem is to *graph*, and no alternative format is given, I will assume the question expects us to state the correct shading and endpoint type for each inequality.

But the instructions say: *ONLY THEN provide the final answer*, and *Final Answer:* should contain only the answer.

Given that, and since this is a worksheet with 5 items, the cleanest final answer is to list each inequality with its correct graph notation:

- x > 9: open circle at 9, shade right
- x ≥ 9: closed circle at 9, shade right
- x < 0: open circle at 0, shade left
- x ≤ −3: closed circle at −3, shade left
- x ≥ 8: closed circle at 8, shade right

But that’s multiple lines. However, the system may expect a concise boxed answer — but there's no single value.

Re-examining: The user uploaded a worksheet titled “Graphing inequalities on a number line”, and the task is to graph them. Since we’re an assistant solving it, and the only output allowed after reasoning is “Final Answer”, and no format was specified for multi-part, I think the appropriate thing is to describe each clearly in the Final Answer as a list — because otherwise no answer is provided.

Given the constraints, I will output the final answer as a clear list matching the 5 problems.

Final Answer:
1. x > 9: open circle at 9, shade to the right
2. x ≥ 9: closed circle at 9, shade to the right
3. x < 0: open circle at 0, shade to the left
4. x ≤ −3: closed circle at −3, shade to the left
5. x ≥ 8: closed circle at 8, shade to the right