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Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 (For help, go to Lesson 1-4.) Graph each set of numbers on a number line. Order the numbers from least to greatest. 1. –3, 7, –92. –2, –10, –8 3. 0, 3, –5 4. 3, –6, 10 Check Skills You’ll Need 2-8 Bell Work #11

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Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 Solutions 1. –9, –3, 7 2. –10, –8, –2 3. –5, 0, 3 4. –6, 3, 10 2-8

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Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 2-8 Vocabulary An ____________________ is a mathematical sentence that contain >, <,,, or A solution of an inequality is ____________________________________________ ___________________________________________________________________ Any number that makes the inequality true inequality

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An open dot shows that –2 is not a solution. A closed dot shows that –5 is a solution. Shade all the points to the right of –5. Shade all the points to the right of –2. Graph the solutions of each inequality on a number line. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 a. x > –2 b. w –5 > – 2-8

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(continued) Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 c. k 4 d. y < 6 < – A closed dot shows that 4 is a solution. Shade all the points to the left of 4. An open dot shows that 6 is not a solution. Shade all the points to the left of 6. Quick Check 2-8

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Write the inequality shown in each graph. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 a. b. x –3 > – x < 3 2-8 Quick Check

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Food can be labeled very low sodium only if it meets the requirement established by the federal government. Use the table to write an inequality for this requirement. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 LabelDefinition Sodium-free foodLess than 5 mg per serving Very low sodium foodAt most 35 mg per serving Low-sodium foodAt most 140 mg per serving 2-8

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(continued) Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 = 35 mg sodium Words number of milligrams of sodium in a serving of very low sodium food. v has at most a serving of very low sodium food Let Equation 35v < – 2-8 Quick Check

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Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 x > –30 1.Graph –7 w. 2.Write an inequality for the graph. 3.A child must be at least 50 in. tall to ride on the roller coaster. Write an inequality for this situation. > – h 50 > – 2-8

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Further preview of Sec 5.2.1 Objective: solve a system of two linear inequalities in two variables and to Graph the solution sets.

Further preview of Sec 5.2.1 Objective: solve a system of two linear inequalities in two variables and to Graph the solution sets.

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