Solving Inequalities by Adding or Subtracting

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Presentation transcript:

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 (For help, go to Lesson 2-3.) Solve each equation. 1. c + 4 = –2 2. x + 9 = 10 3. b + (–2) = 7 4. g – 5 = 10 5. w – 4 = 12 6. m – (–3) = 10 2-9

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 Solutions 1. c + 4 = –2 2. x + 9 = 10 c + 4 – 4 = –2 – 4 x + 9 – 9 = 10 – 9 c = –6 x = 1 3. b + (–2) = 7 4. g – 5 = 10 b + (–2) – (–2) = 7 – (–2) g – 5 + 5 = 10 + 5 b = 9 g = 15 5. w – 4 = 12 6. m – (–3) = 10 w – 4 + 4 = 12 + 4 m – (–3) + (–3) = 10 + (–3) w = 16 m = 7 2-9

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 Solve q – 2 –6. Graph the solution. > – q – 2 –6 > – q – 2 + 2 –6 + 2 Add 2 to each side. > – q –4 Simplify. > – 2-9

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 Solve d + 9 < 8. Graph the solution. d + 9 < 8 d + 9 – 9 < 8 – 9 Subtract 9 from each side. d < –1 Simplify. 2-9

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 The Drama Club can spend no more than $120 for costumes. They already spent $79. How much more can they spend for costumes? < – Words amount spent plus amount spent is at most 120 already on costumes Let c = amount the Drama Club can spend on costumes. Inequality 79 + c 120 79 + c 120 79 – 79 + c 120 – 79 Subtract 79 from each side. < – c 41 Simplify. < – They can spend at most $41. 2-9

Solving Inequalities by Adding or Subtracting COURSE 2 LESSON 2-9 Solve each inequality. Graph the solution. 1. x + 6 < 10 2. a – 9 > 14 3. n + 8 25 4. p – 4 5 a > 23 x < 4 < – > – n 17 < – > – p 9 2-9