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Introduction to Inequalities

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Introduction to Inequalities

Introduction to Inequalities

Mathematical inequality symbols illustration

📊 Part 1: Inequality Symbol Recognition

1. Match each inequality symbol with its correct meaning by drawing lines:
1. >
2. <
3. ≥
4. ≤
A. Less than or equal to
B. Greater than
C. Less than
D. Greater than or equal to
2. Circle the correct way to read each inequality:

7 > 3

Seven is less than three

Seven is greater than three

Seven equals three

x ≤ 10

x is greater than ten

x is less than or equal to ten

x is greater than or equal to ten

🎢 Part 2: Real-World Inequalities

3. Write an inequality for each real-world scenario:

a) You must be at least 12 years old to ride the roller coaster.

Inequality: age _________ 12

b) The speed limit is no more than 55 miles per hour.

Inequality: speed _________ 55

c) You need more than 8 books to check out from the library.

Inequality: books _________ 8

d) The temperature must be less than 32°F to prevent frost.

Inequality: temperature _________ 32

4. Check all the scenarios that represent "at least" situations:

You must be at least 16 to drive

The movie is less than 2 hours long

You need at least $5 to buy lunch

The box weighs more than 10 pounds

Students must read at least 20 minutes daily

🔍 Part 3: Interpreting Inequalities

5. For each inequality, write what it means in your own words:

a) h > 5 feet

b) cost ≤ $20

c) students ≥ 15

6. Circle whether each inequality is "strict" (exact boundary not included) or "inclusive" (boundary included):

x > 7

Strict

Inclusive

y ≤ 15

Strict

Inclusive

✏️ Part 4: Writing Your Own Inequalities

7. Create your own real-world scenario and write the inequality:

Scenario:

Inequality: ________________

8. Fill in the correct inequality symbol (>, <, ≥, or ≤):

a) A movie theater allows children under 12 to get discounted tickets.

age _____ 12

b) The elevator can hold a maximum of 2,000 pounds.

weight _____ 2,000

c) To qualify for the basketball team, you must be taller than 5 feet.

height _____ 5

d) The recipe calls for no less than 2 cups of flour.

flour _____ 2

9. Word Problem Challenge:

Sarah wants to buy a new bike that costs $150. She has been saving money and currently has $89. Write an inequality that shows how much more money (m) Sarah needs to save.

Inequality: ________________

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