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Inequalities and Their Graphs Pre-Algebra Lesson 2-8

Learn about inequalities in mathematics, graphing solutions on number lines, and writing inequalities for real-world scenarios. Practice ordering numbers and identifying solutions.

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Inequalities and Their Graphs Pre-Algebra Lesson 2-8

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  1. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 (For help, go to Lesson 1-4.) Bell Work #11 Graph each set of numbers on a number line. Order the numbers from least to greatest. 1. –3, 7, –9 2. –2, –10, –8 3. 0, 3, –5 4. 3, –6, 10 Check Skills You’ll Need 2-8

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

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

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

  5. < 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. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 (continued) c.k 4   d.y < 6 Quick Check 2-8

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

  7. Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 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. Label Definition Sodium-free food Less than 5 mg per serving Very low sodium food At most 35 mg per serving Low-sodium food At most 140 mg per serving 2-8

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

  9. 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 Inequalities and Their Graphs PRE-ALGEBRA LESSON 2-8 x > –30 2-8

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