 # Solving Inequalities by Adding or Subtracting

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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 = b + (–2) = 7 4. g – 5 = w – 4 = m – (–3) = 10 2-9

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

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

Solving Inequalities by Adding or Subtracting
COURSE 2 LESSON 2-9 Solve d < 8. Graph the solution. d < 8 d – 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 already on costumes Let c = amount the Drama Club can spend on costumes. Inequality c c 79 – c – 79 Subtract 79 from each side. < c 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 < a – 9 > 14 3. n p – a > 23 x < 4 < > n 17 < > p 9 2-9