Graphing and Writing Inequalities

1. Compare. Use <, >, or =. 1. 0 – 2 2. | – 6| – 3 3. 14 –14 4. 23 0 5. – 4 5 6. –17 –18 7. 7 –12 8. 10 |–10| 9. 5 –1 Graphing and Writing Inequalities COURSE 2 LESSON 2-8 (For help, go to Lesson 1-6.) 2-8

2. Graphing and Writing Inequalities COURSE 2 LESSON 2-8 Solutions 1. 0 > –2 2. |–6| > –3 3. 14 > –14 4. 23 > 0 5. –4 < 5 6. –17 > –18 7. 7 > –12 8. 10 = | –10 | 9. 5 > –1 2-8

3. –8 > –6 –6 > –6 0 > –6 3 > –6 7 > –6Replace k with each number. false false true true true Graphing and Writing Inequalities COURSE 2 LESSON 2-8 Tell whether each number is a solution of k > –6: –8, –6, 0, 3, 7. The numbers 0, 3, and 7 are solutions of k > –6. The numbers –8 and –6 are not solutions of k > –6. 2-8

4. < – > – Use a closed circle at 2 to show that r can equal 2. Use a closed circle at 0 to show that a can equal 0. Use an open circle at 1 to show that j cannot equal 1. Use an open circle at –5 to show that m cannot equal –5. Graphing and Writing Inequalities COURSE 2 LESSON 2-8 Graph the solution of each inequality on a number line. a.r 2 b.a 0 c.j < 1 d.m > –5 2-8

5. > – Since the circle at –1 is closed, use or . y –1Since the graph shows values equal to or greater than –1, use . Since the circle at –4 is open, use < or >. z < –4Since the graph shows values less than –4, use <. > > < – – – Graphing and Writing Inequalities COURSE 2 LESSON 2-8 Write an inequality for each graph. a. b. 2-8

6. > > – – • Words age is greater than or equal to 18 years • Let a = age in years. • Inequality a 18 The inequality is a 18. Graphing and Writing Inequalities COURSE 2 LESSON 2-8 You must be at least 18 years of age to vote in a presidential election in the United States. Write an inequality for this requirement. 2-8

7. > – d < 25 v 18 Graphing and Writing Inequalities COURSE 2 LESSON 2-8 Write an inequality for each verbal statement. Graph the solution. 1. A dog weighs less than 25 pounds. 2. You must be at least 18 to vote. 2-8