Writing Inequalities
One-Step Inequalities
Two-Step Inequalities
Graphing Inequalities on a Number Line
Real-world Inequalities
100

A number n is less than 10

n < 10

100

x+6 < 12 

x < 6

100

2x + 3 > 9 

x > 3 

100

Graph x < 2 

open circle at 2, arrow left 

100

You must be at least 13 years old to make a social media account. Write an inequality for the possible ages. 

a ≥ 13

200

A number x is greater than or equal to 4. 

x ≥ 4 


200

a-7≥ 3

a≥10

200

3x - 5 ≤ 10

x ≤ 5

200

Graph n ≥ -3

closed circle at -3, arrow right 

200

A movie ticket costs $9. You have $45. Write and solve an inequality to find how many tickets you can buy. 

9t ≤ 45

t ≤5 

300

The temperature t is no more than 32 degrees. 

t ≤ 32

300

4y≤20

y ≤ 5

300

4x + 7 ≥ 15

x ≥ 2

300

Graph y ≤ 5 

closed circle at 5, arrow left 

300

You can spend no more than $20 on snacks. each snack costs $2. Write and solve an inequality for how many snacks you can buy. 

2s ≤ 20

s ≤ 10

400

A number y is at least 15. 

y ≥ 15

400

n / 3 > 8

n > 24 

400

5x - 2 < 13

x < 3 

400

Graph p > -1 

open circle at 01, arrow right 

400

A rectangle's perimeter must be less than 40 cm. If the length is 12 cm, write an inequality for the possible widths (w). 

2 (12+w) < 40 

w < 8 

500

Twice a number minus 3 is greater than 9. 

2x-3>9

500

-2x ≥ 10


Don't forget to flip the sign!

x ≤ -5

500

-3x + 4 ≥ 10 


Don't forget to flip the sign!

x ≤ -2

500

Graph m ≥ 4

closed circle at 4, arrow right 

500

You earn $8 per hour and need at least $100 to buy a new game system. Write and solve an inequality to find how many hours you must work. 

8h ≥ 100 

h ≥ 12.5 

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