Inequality Word Problems

Front

What does the inequality s > 36 represent in a word problem context?

Back

It indicates that the amount saved by Addie is greater than $36.

Front

How do you express the requirement that Johnny needs to earn at least $105 in terms of an inequality?

Back

The inequality is represented as 15h ≥ 105, where h is the number of hours he works.

Front

What does the inequality k ≤ 62 signify regarding children's height for playground access?

Back

It means that children must be 62 inches tall or shorter to play on the playground.

Front

If Wes wants to spend under $15 on lunch, how do you set up the inequality for the cost of pizza slices and soda?

Back

The inequality can be set up as 2.50p + 1.75 < 15, where p is the number of pizza slices.

Front

What does the statement 'x is at most 30' translate to in inequality form?

Back

It translates to x ≤ 30.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' (>) means the value cannot equal the number, while 'greater than or equal to' (≥) includes the number itself.

Front

How can you represent a situation where a student must score more than 75% to pass?

Back

This can be represented as s > 75, where s is the student's score.

Front

What does the inequality 3x < 12 imply about the value of x?

Back

It implies that x must be less than 4, since dividing both sides by 3 gives x < 4.

Front

How do you express the condition that a number y must be at least 10?

Back

This is expressed as y ≥ 10.

Front

What does the inequality 5n ≥ 25 tell us about the value of n?

Back

It tells us that n must be greater than or equal to 5, since dividing both sides by 5 gives n ≥ 5.