1. 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
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2. 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
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3. 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.
> –
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4. 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.
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5. 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.
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6. 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