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Writing Inequalities
Solving Inequalities
Application Problems
100
a number is greater or equal to 15
What is the following inequality written in words: x ≥ 15
100
x +1 > 15
What is a possible inequality whose answer is x > 14?
100

Jake needs to save at least $1500 to buy a dirt bike in 6 months. He already has $500. Write an inequality that could be used to solve this problem.

What is a possible word problem for the inequality 500+6x ≥1500?

200
4 more than 3 times a number is less than 45
What is the following inequality written in words: 4 + 3n < 45
200
4 + 5n < 45
What is a possible inequality whose answer is n < 8.2?
200

Maria needs to save at least $1000 to buy a new phone in 3 months. She already has $250. Write an inequality that could be used to solve this problem.

n+250 ≥ 1000

300
40 decreased by the product of 3 and a number is greater than 56
What is the following inequality written in words: 40 - 3n > 56
300
40 - 3(n + 8) > 58
What is a possible inequality whose answer is n < -14?
300

A bunch of 7th graders rent a limo to take to the school dance. The limo costs $200 plus $0.50 per mile. The 7th graders don't want to spend over $225. What is the greatest number of miles they could go in the limo?

What is a possible word problem whose answer is m ≤50?

400
a number is less than 5 times the difference between 40 and 35
What is the following inequality written in words: x < 5(40 - 35)
400
89 < 1/5(-40x - 35)
What is a possible inequality whose answer is x < -12?
400

Isaac is keeping track of his pins in wrestling. Right now, he has 5 pins. Isaac gets 2 more pins per meet. Write an inequality to determine how many meets it will take Isaac to get more than 25 pins, then, graph on a number line.

What is a possible word problem whose answer is p ≥ 10?

500

4 times a number is less than 1/4 of the sum between 3 and 2

What is the following inequality written in words: 4n < 1/4(3 + 2)

500
-n < 1/4(12 - 8)
What is a possible inequality whose answer is n > -1?
500

Alex is keeping track of his made free-throws. Right now, he has 12 free-throws made. Alex gets 4 more free throws per game. Write an inequality to determine how many games it will take Alex to get more than 40 free throws, then, graph on a number line.

4n+12 ≥ 40