# Inequalities Writing Inequalitie s SYMBO MEANIN L G

Inequalities Writing Inequalitie s SYMBO MEANIN L G < > Is less than

Is less than or equal to Is greater than Is greater than or equal to KEY WORDS TO HELP DECIDE WHAT SYMBOL TO USE Fewer than, below At most, no more than, maximum More than, above

At least, no less than, minimum WRITE AN INEQUALITY TO REPRESENT THE SITUATION 1. You must be at least 42 inches tall to ride the bumper cars. x 42 2. Children under 36 inches in height cannot ride the roller coaster. x < 36 3. To ride an amusement park ride, you must be 48 inches

tall or taller. x 48 4. A restaurant can hold at most 40 people. x 40 5. Adults 65 and over will get a discount at the restaurant. x

65 WRITE AN INEQUALITY TO REPRESENT THE SITUATION 6. People aged 62 or older receive a discount on their meals. x 62 7. Children under 12 will be admitted to the museum at no charge. x < 12 8.In football, you need to gain at least 10 yards for a first down.

10 9. To run for president of the United States, you must be at least 35 years old. 35 Solving Inequalitie s Solving Inequalities

1. Combine like terms 2. Isolate the variable using inverse operations (solve like equations) 3. Decide if Closed or Open Circle 4. Graph the Inequality Example 1: Solving and Graphing Inequalities Solve and graph the inequality. x+2 8 2 2 Subtract 2 from both sides. x6

1 2 3 4 5 6 7 Solve and graph the inequality.

g - 4 < 10 +4 +4 Add 4 to both sides. g < 14 9 10 11 12 13 14 15 Solve and graph the inequality.

9p 99 9 9 Divide both sides by 9. p 11 9 10 11 12 13 14 15

Solve and graph. 4 a > 12 4 1 1 Multiply both sides by 4. 4 a > 48 43 44 45 46 47 48 49 50 51 52 53 54

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