Algebra 1, Chapter 5: Linear Inequalities

Addition and Subtraction

100

x - 7 > 3

x > 10

200

- 13 > w + 12

-25 > w

300

32 > x + 9

23 > x

400

x - 3 > 5

x > 8

500

x + 3 < 15

x < 12

Multiplication and Division

100

t/-2 > 4

x < -8

200

-3.5z < 42

z > -12

300

-4x > 16

x < -4

400

b/8 > 2

b > 16

500

-3m < -18

m > 6

Compound Inequalities

100

6 ≤ 3x < 12

2 ≤ x < 4

200

16 + 4 < 2x + 2 < 28

9 < x < 13

300

2 < x + 3 < 4

-1 < x < 1

400

 w/3 < 1 OR 3w + 5 > 11

w < 3 OR w > 2

500

2 + 3x > 8 OR 4 + 7x ≤ -17

x > 2 OR x ≤ -3

Absolute Value

100

Solve |x - 2| <  3

-1 < x < 5

200

|2x - 3| > 5

x < -1 OR x >4

300

|2x - 3| < 13

-5 < x < 8

400

|z + 4| ≤  7

-11 ≤ z ≤ 3

500

|z + 12| ≤  12

-24 ≤ z ≤ 0