Inequalities

Solving Inequalities-Positive

100

3x - 9 > 36

x > 15

200

2(x + 18) < 55

x < 9.5

300

x/5 - 12 ≥ 60

x ≥ 360

400

1/2x - 10 ≤ 38

x ≤ 96

500

3/4(x - 12) < 45

x < 72

Interpreting Inequalities

100

It cost less than $5 to get in

x < 5

200

There are more than 20 kids here

x > 20

300

He makes no more than $400 a month

x ≤  400

400

We need at least 10 people

x ≥ 10

500

The movies are at most $15

X ≤15

Solving Inequalities-Negative

100

-2x + 5 ≤ 15

x ≥ -5

200

-6x - 10 > 44

x < -9

300

-3x - 15 > 30

x < -15

400

-1/2x + 3 ≤ 21

x ≥ -36

500

-9(x - 18) < 81

x > 9

Solving Inequalities-Mixed

100

4x + 3 < 15

X < 3

200

3/4x + 12 ≤ 30

x ≤ 24 

300

-5(x-3) ≥ 25

x ≤ -2

400

4x + 10 > -46

x > -14

500

-1/2(x - 14) ≤ -28

x ≥  70