Graphing Inequalities on a Number Line

 Graphing Inequalities on a Number Line

Visualizing inequalities on a number line helps us understand which values satisfy an inequality. This lesson shows you how to graph them step by step.

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🔸 How to Graph an Inequality

Steps to follow:

1. Draw a number line

2. Mark the value in the inequality

3. Use:

Open circle (○) for or — value not included

Closed circle (●) for or — value included

4. Shade the direction:

Left for less than

Right for greater than

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✅ Example 1: Graph 

Open circle at 4

Shade to the left

<=========○---------  4

✅ Final Answer: x < 4

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✅ Example 2: Graph 

Closed circle at –2

Shade to the right

--------●=========> -2

✅ Final Answer: x ≥ –2

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🔸 Quick Summary: Symbols and Circles

Symbol Type of Dot Includes the Number?

 or Open circle (○) ❌ No

 or Closed circle (●) ✅ Yes

📝 Practice Questions:

Practice: Graph the following inequalities on a number line.

1. x > 2

2. x ≤ 0

3. x ≥ –5

4. x < –1

5. x ≥ 7

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