Algebra 1 Companion Book, Vol 1 – Summer Edition

3.1.3 Solving Inequalities by Multiplying or Dividing − Worksheet

Example 1:

Solve each inequality and graph the solutions.

d

1. 3 b > 27

2. − 40 ≥ 8 b

3.

4. 24 d ≤ 6

6

>

3

2 3

≥ r 4 5 2

5. 1.1 m ≤ 1.21

6.

7. 9 s > − 18

8.

> k

6

Example 2:

Solve each inequality and graph the solutions.

b

9. − 2 x < − 10

10.

11. − 3.5 n < 1.4

12. 4 > − 8 g

8

2

t

16. − ≥− m 1 2 7

d

1 2

13.

14. − 10 h ≥ − 6

15.

12

>

<

6

6

Example 3:

17. Tom saved $550 to go on a school trip. The cost for a hotel room, including tax, is $80 per night. Write an inequality to show the number of nights Tom can stay at the hotel.

159

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