Inequalities Types of Math Sentences 1 Equation contains

Inequalities

Types of Math Sentences 1. Equation - contains an equal sign = 2. Inequality – contains <, >, ≥, ≤, or ≠

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

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

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

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

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

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

LMS #1 with Example Problems 1. Members of the little league team must be a < 14 under 14 years old. 2. The ladder must be over 30 feet tall to reach h > 30 the top of the building. 3. The movie theater can hold a maximum of 300 people. x ≤ 300 4. A suitcase must weigh no more than 50 pounds when checking in at the airport. p ≤ 50 5. A grade of no less than 65 is considered passing. g ≥ 65

LMS #2 with Example Problems 1. You must be at least 18 years old to be considered an adult. y ≥ 18 2. Minimum wage is $7. 25 per hour. w ≥ 7. 25 3. You must spend more than $100 to get a discount. d > 100 4. An elevator’s maximum load if 3, 400 pounds. p ≤ 3, 400 5. In most cases you have to be 25 years c ≤ 25 or older to rent a car.