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

LMS #2 with Example Problems 1.You must be at least 18 years old to be considered an adult. 2.Minimum wage is $7.25 per hour. 3.You must spend more than $100 to get a discount. 4.An elevator’s maximum load if 3,400 pounds. 5.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