Solving Inequalities and Absolute Value Equations/Inequalities

Solving Equations

100

Solve: n - 5 = n - 3

No Solution

200

Solve : 4x + 9 = 2x - 6

x = -15/2 or x = - 7 1/2

300

Solve: 4(x+6) - 11 = 25

x=3

400

Solve: 2(x-5) = 5(x+5) -2 

x = -11

500

Solve the equation: 

2(4x-6) = -10 +8x - 2

All Real Numbers/ Infinite solutions

Multi-Step Inequalities

100

9x – 6 < 3

What is x<1

200

20+4x>2(x+20)

What is x>10

300

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

What is all real numbers

400

10x-10-7x>3x-2

What is no solution

500

17-(4x-2)<2(x+3)

What is x>13/6

Compound Inequalities

100

Write a compound inequality for all real numbers that are greater than –8 and less than 8

-8<x<8

200

Solve -2<-2x-4<8

What is -1>x>-6

-6<x<-1

300

Solve -2<4x-10<6

2<x<4

400

Solve 

2x – 2 < –12 OR 2x + 3 > 7

x <-5 OR x > 2

500

Solve 12h-3>=15h or 5>-0.2h+10

h < -1 OR h>25

Absolute Value Equations

100

Solve |x|+10=1

What is no solution

200

Solve 6|n|-2=10

What is n=2 or n=-2

300

Solve |9x|=27

What is x=-3,3

400

2 +|9-k|=13

What is k= -2,20

500

10|4x-2|-7=93

x = -2, 3

Absolute Value Inequalities

100

lx+2l+2<4

x>-4, x<0

200

2lx+3l>-8

Infinite Solutions

300

2lx+2l-1<8

x<1, x>-5

400

2lx+9l+3>7

x>-7, x<-11

500

3lx/7l>21

x>49,x<-49