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Inequalities

Learn the types of math sentences, such as equations and inequalities, and their meanings like greater than, less than, or equal to, through real-life examples. Enhance your math skills with practice problems and detailed explanations.

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Inequalities

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  1. Inequalities

  2. Types of Math Sentences • Equation - contains an equal sign = • Inequality – contains <, >, ≥, ≤, or ≠

  3. What does < mean? • Less than • Fewer than • Is under

  4. What does > mean? • Is greater than • Is more than • Exceeds • Is over

  5. What does ≤ mean? • Is less than or equal to • Is no more than • Is at most • The maximum is

  6. What does ≥ mean? • Is greater than or equal to • Is no less than • Is at least • The minimum is

  7. What does ≠ mean? • Is not equal to • Is less than or greater than

  8. When are inequalities used? • When you need to represent situations that have many possible answers. Example: The president of the U.S. must be at least 35 years old. Let a = the president’s age a ≥ 35

  9. LMS #1 with Example Problems • Members of the little league team must be under 14 years old. • The ladder must be over 30 feet tall to reach the top of the building. • The movie theater can hold a maximum of 300 people. • A suitcase must weigh no more than 50 pounds when checking in at the airport. • A grade of no less than 65 is considered passing. a < 14 h > 30 x ≤ 300 p ≤ 50 g ≥ 65

  10. LMS #2 with Example Problems • You must be at least 18 years old to be considered an adult. • Minimum wage is $7.25 per hour. • You must spend more than $100 to get a discount. • An elevator’s maximum load if 3,400 pounds. • In most cases you have to be 25 years or older to rent a car. y ≥ 18 w ≥ 7.25 d > 100 p ≤ 3,400 c ≤ 25

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