Inequality Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a situation where a person wants to earn at least a certain amount of money?

Back

You can represent this situation using an inequality, such as 'earnings ≥ desired amount'.

Front

If Johnny earns $15 per hour and wants to earn at least $105, what inequality represents the hours he needs to work?

Back

15h ≥ 105.

Front

What does the inequality 3y ≥ 63 represent in a word problem context?

Back

It represents that Todd caught at least three times as many fish this year than last year, where y is the number of fish caught last year.

Front

How do you write an inequality for 'twenty-two more than four times a number is less than 82'?

Back

22 + 4n < 82.

Front

What is the first step to solve the inequality 22 + 4n < 82?

Back

Subtract 22 from both sides to isolate the term with n.

Front

If Ruby has $60 and wants to save at least $200 by saving $5 per week, what inequality represents the number of weeks needed?

Back

x ≥ 28.

Front

What does the term 'at least' indicate when writing inequalities?

Back

It indicates that the value can be equal to or greater than a certain number.

Front

What is the solution to the inequality 15h ≥ 105?

Back

h ≥ 7, meaning Johnny needs to work at least 7 hours.

Front

How do you interpret the inequality x ≥ $6250 in a sales context?

Back

It means Griffin must make sales of at least $6250 to achieve his desired weekly pay.