Name the Inequality
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Word Problems
100

An inequality symbol for the word "fewer"

What is "Less than" < ?

100

Solve: m + 5 > -3

What is m > -8?

100

Solve: 5 ≤ v - 4 - 7

What is v ≥ 16 (or 16 ≤ v)?

100

Solve: 2y - 5 > 9 + 3y

What is y < -14 (or -14 > y)?

100

Employees must work at least 20 years in a company to receive full benefits upon retirement. Write an inequality to describe this situation.

What is "y is greater than or equal to 20"?
200

An inequality for the word "above".

What is "greater than" > ?

200

Solve: t + 3/8 ≤ -1/8

What is t ≤ -1/2 ?

200

5 < 3m - 10

What is m > 5 (or 5 < m)?

200

Solve: 3(2 + r) ≥ 15 - 2r

What is r ≥ 9/5?

200

Your average in Algebra must be a 92.5 or greater to receive an A. Write an inequality to model this situation.

What is "a is greater than or equal to 92.5" ?

300

An inequality for "at least".

What is "greater than or equal to"?


300

Solve: -7b > 42

What is b < -6?

300

Solve: -3n/5 ≥ -9

What is n ≤ 15

300

Solve: -3(2n + 1) > 9

What is n < -2?

300

You need at least $45 to buy a new video game. You already have $28. Write an inequality to represent how much more money m you need to save.

What is 28 + m "Greater than or equal to" 45?

400

An inequality for "at most".

What is "less than or equal to" ?

400

Solve: b/3 ≥ -2

What is b ≥ -6?

400

Solve: 5m - 3 ≥ -18

What is m ≤ -3?

400

17 - (4k - 2) ≥ 2(k + 3)

What is k ≤ 13/6

400

You save $6 per week towards a new pair of sneakers. You already have $28 saved and want to save at least $120. Write me an inequality that would help you find the number of weeks w to save.

What is 6w + 28 "is greater than or equal to" 120?

500

An inequality for "no more than".

What is "less than or equal to" ?

500

-12 > c/-2 

What is 24 < c?

500

Solve:  -12 > c/-2 + 10

What is 44 < c or c > 44?

500

5c + 4(c - 1) > 3c + 2(5 + 3c)

What is no solution?

500

Ms. Newport is being driven mad by her students daily when they do not return pencils. Ms. Newport has 67 pencils to start the month of November. Each day she loses about 6 pencils. By the end of November she has no more than 7 pencils. Write an inequality that represents this situation, where d is the number of days.

What is 67 - 6d "is less than or equal to" 7?