Solving Inequalities

One Step

100

3x<9

x<3

200

y-6>2

y>8

300

-2x<10

x>-5

400

y-22<3

y<25

500

-5x>-30

x<6

Multistep

100

3x+7>10

x>1

200

-x-10<5

x>-15

300

2x-8>4x

x<-4

400

-36 > 2(4+11x)

x<-2

500

-16 + 2x>-2x + 12

x > 7

Compound

100

3x > -6 and 2x < 4

x > -2 and x < 2

200

x+7 > 6 or x +10 < -2

x < -12 or x > -1

300

-3 < x+5 < 10

-8 < x < 5

400

3y+6 < 4y - 7  or  -2(y - 4) < -3(2y + 4)

y < -5 or y > 13

500

4x + 2 < 2x - 6 < 3x - 4

x > -4 and x < -2

Absolute Value

100

|x+2| > 3

x < -5 or x > 1

200

|3x|<12

x>-4 and x<4

300

|2x - 4| +1 > 5

x < 0 or x > 4

400

3|y - 8| < 15

y > 3 and y < 17

500

2 - 3|x-5| > -7

x > 2 and x < 8

Do you know your teacher

100

3 Girls and 2 Boys

How many children does Mr. Zogg have?

200

Chinese Food

What is Mr. Zogg's favorite food?

300

28 years

How many years Mr. Zogg has been teaching?

400

Crimson Red

What is Mr. Zogg's favorite color?

500

30 Years

How many years Mr. Zogg has been married?