Inequalities Review

Multi-Step Inequalities

100

Solve and graph

-5n + 2n > 3

n < -1

200

Solve and graph

-p - 4p > -10

p<2

300

Solve and graph

-6 (6b - 7) < -138

b > 5

400

Solve and graph

5(6+3r) + 7 > 127

r > 6

500

Solve and Graph

-3 - 6(4x + 6) > -11

x < 3

Variables on Both Sides

100

Solve and graph

a - 6 < 15 + 8a

a > -3

200

Solve and graph

-11n < 8 - 8n - n

n > -4

300

Solve and graph

-1 - 6x - 6 > -11 - 7x

x > -4

400

Solve and graph 

-x < -x + 7(x - 2)

x > 2

500

Solve and Graph

3 ( p - 3) - 5p > -3p - 6

p > 3

"Or"

100

Solve and graph

m-2 < -8 OR 4x > 8

m<-6 OR m>2

200

Solve and graph

2n+7 >27 OR 3+3n<30

n>10 OR n<9

300

Solve and graph

-1-10a<-1 OR 10+3a<-5

a>0 OR a<-5

400

Solve and graph

3n+2<-2+7n OR 8n-4<3n-4

n>1 OR n<0

500

Solve and graph

8r-5>6r-1 OR 4+4r<3r-3

r>2 OR r<-7

"And"

100

Solve and graph

-1<9+n<17

-10<n<8

200

Solve and graph

-50 < 7k+6<-8

-8<k<-2

300

Solve and graph

-36<3p-6<-15

-10<p<-3

400

Solve and graphing

-1 + 5n > -26 and 7n-12<12

Writing as a single inequality

-5<n<2

500

Solve and graph. Write as a single inequality.

8x + 8 > -64

AND

-7 - 8x > -79

-9<x<9