It looks like you've uploaded an image containing a math worksheet with four problems involving
number lines and
inequalities. However, since I can't view images directly, I'll need you to describe the content of the image or provide the text of the problems.
That said, based on your description and the typical format of such worksheets, here's how we can approach solving these types of problems:
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🔍 Typical Structure of These Problems:
Each problem likely includes:
1. A number line with shaded regions.
2. An inequality (e.g., $ x > 3 $, $ x \leq -2 $).
3. Instructions to
write the inequality represented by the number line, or
graph the solution set.
Let me walk through a general example so you can apply it to your problems.
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🧩 Example Problem:
Number line shows:
- A closed circle at $-2$
- Shading to the right
👉 This means:
All numbers
greater than or equal to -2
So the inequality is:
$$
x \geq -2
$$
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✔ Steps to Solve:
1.
Look at the endpoint: Is it a
closed circle (●) or
open circle (○)?
- Closed = includes the point → use $ \leq $ or $ \geq $
- Open = does not include the point → use $ < $ or $ > $
2.
Determine direction of shading:
- Left → smaller values (use $ < $ or $ \leq $)
- Right → larger values (use $ > $ or $ \geq $)
3.
Write the inequality using the correct symbol and number.
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📌 Common Inequality Symbols:
| Symbol | Meaning |
|--------|--------|
| $ < $ | less than |
| $ > $ | greater than |
| $ \leq $ | less than or equal to |
| $ \geq $ | greater than or equal to |
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🛠️ Let’s Apply This to Your Worksheet (Assuming 4 Problems):
Since I can’t see the image, please describe each one in words like:
> "Problem 1: Number line has an open circle at 5 and shading to the left."
Then I’ll solve it step-by-step.
Alternatively, if you can type out what's written or drawn in each box, I’ll help you solve all four.
Just reply with the details, and I’ll give you full explanations!
Parent Tip: Review the logic above to help your child master the concept of synthetic division worksheet.