MathsFreePrintable
Graphing Inequalities Number Lines
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Graphing Inequalities on Number Lines
📚 Part 1: Understanding Inequality Symbols
1. Match each inequality symbol to its meaning:
> means "greater than or equal to"≥ means "greater than"< means "less than"≤ means "less than or equal to"
2. Which type of circle should be used for x > 5?
Open circle (because 5 is NOT included)Closed circle (because 5 IS included)
3. Which type of circle should be used for x ≤ -2?
Open circle (because -2 is NOT included)Closed circle (because -2 IS included)
✏️ Part 2: Graphing Inequalities
4. Graph the inequality x < 3 on the number line below:
5. Graph the inequality x ≥ -1 on the number line below:
6. A shop sells items for more than $8. Write this as an inequality and graph it:
Inequality: x _______ 8
7. The temperature must not exceed 25°C. Write this as an inequality and graph it:
Inequality: x _______ 25
🎯 Part 3: Real-World Applications
8. A car park charges $5 or less per hour. Graph this on a number line and explain your choice of circle:
9. Extension: Graph the compound inequality -2 ≤ x < 4 on the number line below:
10. Write a real-life scenario that could be represented by x > 18:
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