Inequalities Review

1/2 Step

100

x + 7 < 2

x < 9 (-@,9)

200

-8x < 48

x > -6 (6, @)

300

2x - 9 < 13

x < 11 ( -@,11)

400

11 - 4x < 27

x > -4 (-4, @)

500

(x/-4) + 3 > 12

x < -36 (-@,-36)

Multi Step

100

2x - 8x > 42

x < -7 (-@,-7)

200

4x - 2 + 7x - 7 > 46

x > 5 (5,@)

300

2(5x - 4) < 72

x < 8 (-@,8)

400

7(5a+6)+2<324

a<8

(-@,8)

500

5(n-5) < 4x - 17

n < 8

 (-@,8)

Compound

100

x - 9 > -1 or x - 19 < -14

x > 8 or x < -4

200

k+8<10 and (k/9)>-1

k > -9 and k< 2

300

-2b + 8 < 20 and -3b + 2 > -19

b > -6 and b < 7

400

5 + 6p < -7 or 6b - 8 > -8

p < -2 or p> 0

500

-7p - 3 > 60 or -3 - 6p < 27

p < -9 or p > -5

Absolute

100

|x| > 6

x < -6 or x > 6

200

|b| < 9

b < 9 and b > -9

300

|b/3| > 1

b > 3 or b < -3

400

|-3p|<12

p>-4 and p<4

500

|-6x-6|<42

x > -8 and x < 6

Vocab

100

This symbol is called what? >

Greater than

200

The arrow on the graph represents what?

infinity

300

Open circles are what type of inequalities

< > 

400

( ) [ ] are symbols used to describe all possible solutions

interval notation

500

what is it called when one expression is less or greater than another expression

an inequality