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Introduction to Inequalities

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Introduction to Inequalities

Mathematical symbols and inequality signs

📚 Part 1: Understanding Inequality Symbols

Remember: > means "greater than", < means "less than", ≥ means "greater than or equal to", ≤ means "less than or equal to"

1. Which symbol means "greater than"?

<

>

=

2. Fill in the correct symbol (>, <, or =) to make each statement true:

a) 15 _____ 12

b) 8 _____ 11

c) 20 _____ 20

d) 7 _____ 9

3. Which of these statements are true? (Tick all that apply)

25 > 18

6 < 4

13 = 13

30 < 35

🔢 Part 2: Solving Simple Inequalities

4. Find all whole numbers that make this inequality true: x < 5
5. Sarah has more than 12 stickers but fewer than 16 stickers. How many stickers could Sarah have?

11, 12, 15, 16

13, 14, 15

12, 13, 14, 15, 16

13, 14, 15, 16, 17

6. Complete these inequalities:

a) If n > 8, then the smallest whole number value for n is _____

b) If m ≤ 10, then the largest whole number value for m is _____

c) If p ≥ 15, then the smallest whole number value for p is _____

📝 Part 3: Word Problems

7. A cinema ticket costs £8. James has £25. Write an inequality to show how many tickets (t) James can buy.
8. The temperature today is greater than 15°C but less than or equal to 22°C. Which of these could be today's temperature?

14°C

18°C

22°C

25°C

9. A bag can hold at most 12 kg. Write this as an inequality using w for weight.

Inequality: w _____ _____

10. Explain in your own words what the inequality x ≥ 7 means.

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