Solving Inequalities Using Addition and Subtraction

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Presentation transcript:

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 (For help, go to Lessons 1-4, 1-5, and 2-1.) Do You Have What it takes? Hmmm......... Complete each statement with <, =, or >. 1. –3 + 4 –5 + 4 2. –3 – 6 4 + 6 3. –3.4 + 2 –3.45 + 2 Solve each equation. 4. x – 4 = 5 5. n – 3 = –5 6. t + 4 = –5 7. k + = 2 3 5 6 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 Solutions 1. –3 + 4 –5 + 4 1 > –1 2. –3 – 6 4 – 6 –9 < –2 3. –3.4 + 2 –3.45 + 2 –1.4 > –1.45 4. x – 4 = 5 x = 9 5. n – 3 = –5 n = –2 2 3 5 6 6. t + 4 = –5 t = –9 7. k + = 5 6 2 3 5 6 4 6 1 6 k = – = – = 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 Solve p – 4 < 1. Graph the solutions. p – 4 < 1 +4 +4 ----------------- Add 4 to each side. p < 5 Simplify. 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 Solve 8 d – 2. Graph and check your solution. > 8 d – 2 +2 + 2 ------------------------ Add 2 to each side. > 10 d d 10 Switch and Flip > < Check: 8 = d – 2 Check the computation. 8 10 – 2 Substitute 10 for d. 8 = 8 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 Solve c + 4 > 7. Graph the solutions. c + 4 > 7 -4 -4 ----------------- Subtract 4 from each side. c > 3 Simplify. 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 pages 142–145 Exercises 2. 8 4. x > 11 6. b < –4 8. s –4 10. n > 10 12. d > 3 14. q < 3 16. r < 4.5 18. b < 20. 2 22. 3.1 1 3 1 2 > – 3-2

Solving Inequalities Using Addition and Subtraction ALGEBRA 1 LESSON 3-2 24. m > –8; 26. a –6; 28. k 1; 30. p > –6; 32. y < 5.5; 34. a –0.3; 36. h – ; 38. t < – ; 1 2 < – 1 2 < – < – < – 3-2