Writing and Graphing Inequalities
Solving inequalities using addition and subtraction

Solving inequalities using multiplication and division

Solving Multi-Step Inequalities
Solving Compound Inequalities
100

Twelve is greater than or equal to five times a number r

12 > 5r

100

x - 3 < -4

x < -1

100

6x < -30

x < -5

100

4x + > 0

> -2

100

4 < x - 3 < 7 

7 < x and x < 10

7 < x < 10

200

A number minus 6 is no more than 23

x - 6 < 23

200

-3 > -3 + h

h < 0
200

48 < 16x

< x

200

(-c/2) - 6 > -8

c < 4

200

15 < -5x < -10

-3 < x and x < 2

-3 < x < 2

300

A number plus 7 is at least -2

x + 7 > -2

300

s - (-1) 

> 1

300

-4x > -16

x < 4

300

< -4(x + 1)

-3 > x

300

x + 4 < 2 or -3x < -27

x < -2 or x > 9

400

A number x is less than -2 or greater than or equal to 2

x < -2 or x > 2

400

6 - 9 + x < -2

x < 1

400

(x/5) < -7

x < -35

400

5 - 2x > 8 - 4x

x > 3/2

400

2x + 6 < 10 or -x + 7 < 2

x < 2 or x > 5

500

A number x is no less than -2.4 and fewer than 4.2

x > -2.4 and x <4.2

-2.4 < x < 4.2

500

12 < 4c - 3c + 10

< c

500

(x/ -6) > 3

< -18

500

7x - 4x + 6 < -2 + 3x

0 < -8 

no solution

500

-12 < 2(6x + 24) < 12

-5 < x and x < -3

-5 < x < -3