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Name Period 3-1 Date Notes-Activity Inequalities and Their Graphs Vocabulary Inequality: a mathematical sentence that uses an inequality symbol to compare the values of two expressions Inequality Symbols: <, >, , Examples: 3 > 2, 5 + 7 < 11, and x – 2 4 Nonexamples: 4 + 4 = 8, x – 3 = 17 Solution to an Inequality: any number that makes the inequality true Graph an inequality: 1. an open dot on a graph means the number is not part of the solution. Use for < or >. 2 a closed dot on a graph means the number is part of the solution. Use for or . Use your Vocabulary Write an inequality that represents each verbal expression. 1. all real numbers p greater than or equal to 1.5. 2. 4 less than a number y is greater than 10 3. The quotient of a number x and 12 is less than or equal to 8 Write each inequality in words. 1. n < 5 2. h > -3 Determine whether each number is a solution of the given inequality. 13 7 y 6 1. a. -1 b. 0 c. 1 Graph each inequality. 1. x>-4 2. x3 d. 3 Write an inequality for each graph. 1. Define a variable and write an inequality to describe each situation. 1. 2. The legal speeds given the speed limit sign. You must be at least 42 inches tall to ride the roller coaster. Apply your Vocabulary Class Party You are making muffins for a class party. You need 2 cups of flour to make a pan of 12 muffins. You have a 5-lb bag of flour, which contains 20 cups of flour. Write an inequality that represents the possible numbers of muffins you can make. What do you know? 1. cups make muffins. 2. The maximum number of cups in a 5-lb bag of flour is cups. What do you need to solve the problem? 3. What is the greatest number of muffins you can make with a 5-lb bag of flour? How do you solve the problem? 4. What inequality can you use to describe n, the possible number of muffins you can make with 2 cups of flour? 5. What inequality can you use to show the possible number of muffins you make with 20 cups of flour? 6. What are two solutions to the inequality for 20 cups? 7. What is the greatest possible solution? 8. Are all solutions to the inequality reasonable? Explain. Homework: pg 168- 170, 8-34 even, 35-39 odd, 40-43 all, 44-54 even