Solving Inequalities

Graphing Inequalities

100

x>2

open circle on 2, shading right

200

x>5

open circle on 5, shading to the right.

300

x<4

open circle at 4, shading to the left.

400

x is greater than 7

open circle, shading to the right. 

500

x is less than or equal to -4

Closed circle on -4, shading to the left. 

Addition/Subtraction

100

x+3>4

x>1

200

x-4<-4

x<0

300

x-3>-9

x>-6

400

x+4>=-8

x>=-12

500

x-10>=-12

x>=-2

Multiplication/Division

100

3x>6

x>2

200

x/4<-4

x<-16

300

-5x>-20

x<4

400

x/-4>2

x<-8

500

8x<-64

x<-8

Compound Inequalities

100

-3<m-4<-1

1<m<3

200

3x+2<-7  or -4x+5<1

x<-3 or x>1

300

6y-1<-7  or  2y+1>5

y<-1 or y>2

400

5z-3>7 or 4z-2<-10

z>2 or z<-2

500

-3<=(6-x)/9<=3

-21<=x<=33

Absolute Values

100

|2x|=10

x=5 or x=-5

200

|x-3|+4=15

x=14 or x=-8

300

|x+2|>=7

x>=5 or x<=-9

400

|3x|+1<10

-3<x<3

500

2|x-5|+4<18

-2<x<12