Inequalities Review

Graphing

100

Graph X=5

closed circle on 5 no arrow 

200

Graph X<5

open circle  to the left 

300

X ≥ 4

closed circle to the right 

400

X  ≤ 2

closed circle to the left 

500

Graph X>5

open circle 

to the right

1-Step Solving

100

x + 5 > 10

Open circle on 5 to the right 

X > 5

200

X - 7 < 13

open circle to the left on 20

X < 20

300

5X ≤ 25

closed circle to the left on 5 

X ≤ 5

400

-5x>-25

x<5

500

x/-3 > 4.2

X<-12.6

Word Problems

100

The quotient of a number and 5 is greater than twenty-two.

x/5>22

200

One less than five times a number is fewer than twenty-four.

5x-1<24

300

Fifteen less than five times a number is at most 10.

5x - 15 ≤ 10

400

Maci is buys 4 packs of pens and 1 pack of paper for $5 on amazon. If she spent less than $30 how much could each pack of pens cost? Write the inequality.

4x+5<30

500

At the store, Jerry has $20 to spend. Does he have enough money to buy a pop for $1.50 and 2 Lunchables for $5 each? 

5x +1.5     20

True or False

100

10 > d, if d=7

True or False 

True 

200

k + 9 > 24, if k=8

False 

300

k + 10 < 24, k=4

True or False 

True 

400

4x > 20, if x=5

 true or False 

False 

500

-20 > -f, f=15

True or False

False

2-step solving

100

3x+5>17

x>4

200

2x-8>12

x>10

300

16>2+7x

2>x

400

-6x+19<25

x>-1

500

-8x-9>-21

x<1.5