Writing Inequalities
Graphing Inequalities
Solving Inequalities
Story Problems
100
The temperature is less than 5 degrees Celsius.   

What is t<5?

100

Graph:

x>-42

Show a picture

100

5x − (x + 2) > −5(1 + x) + 3

What is x>0?

100

Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many weeks will it take him to weigh less than 175 lbs.?

What is x >12.5 weeks?

200

The sum of x and 5 does not exceed 14. 

What is x+5 is less than or equal to 14?

200

15 times n is less than or equal to 45.

Show picture

200

24 + 6k < -6(-4 - k)

What is no solution?

200

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

What is x is less than or equal to 14?

300

Twice the difference of a number and 20 is more than 47.

What is 2(x-20)>47?

300

Graph:

v<5 and v is less than or equal to 10.

Show picture. 
300

-2n - 40 < 5(6 + n) + 7n

What is n>-5?

300

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?

What is x is greater than or equal to 12 more sessions

400

A florist sells bouquets of 12 flowers. The florist has up to 180 flowers to use. How many might they use? 

What is 12x is less than or equal to 180?

400

w is less than or equal to 1 or w>3.

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400

(3x-2)/4+5<15

What is x<14?

400

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

What is x is less than or equal to 12 weeks?

500

Twice a number, n, subtracted from 36 is less than 15 more than one third the number. 

What is 36-2n<15+1/3n?
500

-3<x is less than or equal to 6.

Show picture. 

500

(3x+2x-3)/4>18

What is x>15?

500

The seventh grade class is putting on a variety show to raise money. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?

What is 15t is greater than or equal to 1000?

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