1. Unit 3 Lesson 2
SOLVING INEQUALITIES
SOLVE EACH INEQUALITY AND GRAPH.
1. t - 3 < ≤ d r - 9 ≤ 0
≥ w y + 1 ≤ ≥ h + 3
7. w - 2 < < 1 + p y > 13

2. 10. 4x x ≥ t - (6t - 2) ≤ -1
12. 3(r + 2) - 2r < a a > -19
d + 4(d + 3) > (a +2) + 7a ≤ 12

3. t ≥ < - 7 x < 2q
w < d > u ≥ 5
d < > 2 u t < -9 3

4. Solving Multi-Step Inequalities
Solve.
1. 4d + 7 ≤ x - 2 < 8
3. 8 ≤ q ≤ 5 - 4a

5. c > ( j- 4) ≥ -6
7. -2( h + 2) < > - (4y + 7)

6. 9. -3( c + 4) - 2 > ≤ 4 - 3( n -13)
11. 3t + 7 ≥ 5t n ≤ 3 - n

7. Solve and Graph: (with and)
< j + 2 < < 3n - 4 ≤ 14
< -3x +7 < < -2s - 1 ≤ -7

8. < -3x + 8 < ≥ 4r -5 ≥ -1
< a ≤ ≤ 5 - x < 2

9. Solve and graph. ( with or)
k > 3 or 6k < a < 1 or 3a ≤ 12
y + 7 ≤ -3 or 3y - 2 ≥ 13
n < -9 or -2n > 10
18. 5x - 3 > 7 or 4x - 6 < -10
h > 17 or 5h - 3 > 17

10. Word Problems with inequalities.
1. Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. How many blankets must the team donate on Friday to make or exceed their goal?
2. In order to receive a B is your literature class, you must earn more than 350 points of reading credits. Last week you earned 120 points. This week you earned 90 points. How many more points must you earn to receive a B?

11. 3. A school club is selling reflectors for Bicycle Safety Day
3. A school club is selling reflectors for Bicycle Safety Day. Each member in encouraged to sell at least 50 reflectors. You sell 17 on Monday and 12 on Tuesday. How many reflectors do you need to sell on Wednesday to meet your goal?
4. Your brother has $2000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find how much he can spend for everything else.

12. 5. Your family budgets $160 to spend on fuel for a trip
5. Your family budgets $160 to spend on fuel for a trip. How many times can they fill the car's gas tank if it cost $25 each time?
6. Students in the school band are selling calendars. They earn 40 cents on each calendar they sell. Their goal is to earn more than $327. Find the fewest number of calendars they can sell and still reach their goal.

13. 7. The science club charges $4. 50 per car at their car wash
7. The science club charges $4.50 per car at their car wash. How many cars would they have to wash to earn at least $300.