Solving One-Step Inequalities

Which Symbol?

100

symbol for less than

<

200

symbol for greater than 

>

300

symbol for greater than or equal to

≥

400

symbol for less than or equal to

≤

500

symbol for not equal to 

╘

Writing

100

less than 18 people are allowed in the gallery

p < 18?

200

there are fewer than 8 fish in the aquarium

f < 8?

300

the water level is above 45 inches

w > 45?

400

can fit 35 tables or less in the cafeteria

What is t ≤ 35?

500

need to save at least $25 

c ≥ 25

Adding & Subtracting

100

SOLVE: x - 9 < 18

x < 27

200

SOLVE: p - 3 ≤ 4

p ≤ 7?

300

SOLVE: k + 54 < 65

k < 11

400

SOLVE: 12 + k ≥ 19

k ≥ 7

500

SOLVE: k + 3.2 ≥ 8

k ≥ 4.8

Multiplying & Dividing

100

SOLVE: 3m > 15

m > 5

200

SOLVE: 25c ≤ 200

c ≤ 8

300

SOLVE:  c ÷ 10 ≤ 12

c ≤ 120

400

SOLVE: 15p ≤ 45

p ≤ 3

500

SOLVE: 1/2d < 10

d < 20

Graphing

100

Is the graph of the solution for x > 7 an OPEN or CLOSED dot?  

OPEN

200

Is the graph of the solution for x ≥ 7 an OPEN or CLOSED dot?  

CLOSED

300

Which direction do you shade the graph of the solution for x > 7 ?    LEFT  or  RIGHT  

RIGHT

400

Which direction do you shade the graph of the solution for x < 7 ?    LEFT  or  RIGHT  

LEFT

500

Graph the solution for x ≤ 7 .    

OPEN or CLOSED dot

shade to the LEFT  or  RIGHT  

CLOSED dot and shade to the LEFT