Inequalities Mixed Review #2

1-Step add/sub

100

x − 5 ≤ 9

x ≤ 14

200

r + 15 < -20

r  < -5

300

n − 8 ≤ -28

n ≤ -20

400

a − 17 ≥ -16

a  ≥ 1

500

15 + p  > 0

p > −15

1-Step mul/div

100

- 9x > -27

x > 3

200

b/8 > 6

b > 48

300

9v < 54

v < 6

400

m/4 < 4

m < 16

500

-10 < r/8

r > -80

2-Step Solving

100

n/3 > 6

n > 18

200

-22 > -10 + 3b

b < -4

300

3 + b/9 < 4

b < 9

400

9 + n/2 > 16

n > 14

500

-88 > 8r - 32

r < -7

Sketch the Graph

100

x/-3 > 5

x < -15

open circle -15, left arrow

200

10 < 5 + p/20

p > 100

open circle, right arrow

300

-8(5 + n) ≥ -104

 n ≤ 18

closed circle, left arrow

400

-2 + x < -16

x < -14

500

x/9 ≤ 8

x ≤ 72

closed circle, left arrow

Multi-Step

100

-11 > 6 -2n - 5

n > 6

200

x + 1 + 4 < 9

x < 4

300

2(6 + 4n) > 12 - 8n

n > 0

400

-x + 23 < 2 - 2(x-8)

x < -5

500

30 - 6a < -3(5 + 7a)

a < -3