Solving Inequalities by Adding or Subtracting Solve each

Solving Inequalities by Adding or Subtracting Solve each equation. COURSE 2 LESSON 2 -9 (For help, go to Lesson 2 -3. ) 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 c + 4 – 4 = – 2 – 4 c = – 6 2. x + 9 = 10 x + 9 – 9 = 10 – 9 x=1 3. b + (– 2) = 7 b + (– 2) – (– 2) = 7 – (– 2) b=9 4. g – 5 = 10 g – 5 + 5 = 10 + 5 g = 15 5. w – 4 = 12 w – 4 + 4 = 12 + 4 w = 16 6. m – (– 3) = 10 m – (– 3) + (– 3) = 10 + (– 3) 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 q > – – 4 Add 2 to each side. 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 d < – 1 Subtract 9 from each side. 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 already Let Inequality c plus amount spent on costumes is at most 120 = amount the Drama Club can spend on costumes. 79 + c < – 120 79 – 79 + c < – 120 – 79 c < – 41 Subtract 79 from each side. Simplify. They can spend at most $41. 2 -9 120

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