Inequality Word Problems

Front

What is an inequality in mathematics?

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 earns a fixed amount plus a variable amount based on sales?

Back

You can represent this situation using an inequality, where the fixed amount is added to the variable amount multiplied by the number of items sold.

Front

What is the inequality representation for Adam's earnings if he earns $80 per day plus $8 per video game sold?

Back

The inequality is 80 + 8x ≥ 176, where x is the number of video games sold.

Front

How do you determine the minimum number of items needed to reach a financial goal?

Back

Set up an inequality that represents the total amount earned from selling the items and solve for the number of items.

Front

What is the formula to calculate total earnings from selling lemonade at a price per cup?

Back

Total earnings = (Price per cup) * (Number of cups sold).

Front

If Stacy wants to have at least $150 in her savings account and currently has $25, how do you set up the inequality?

Back

The inequality is 25 + 0.50x ≥ 150, where x is the number of cups of lemonade sold.

Front

What is the maximum number of pizza slices Wes can buy if he wants to spend under $15?

Back

Set up the inequality 2.50x + 1.75 < 15 and solve for x to find the maximum number of pizza slices.

Front

How do you solve an inequality to find the number of items sold?

Back

Isolate the variable on one side of the inequality by performing inverse operations and then interpret the solution in the context of the problem.

Front

What does it mean if an inequality has a 'greater than or equal to' symbol?

Back

It means that the value can be either greater than or exactly equal to the number specified.

Front

What is the significance of the solution set in an inequality?

Back

The solution set represents all possible values of the variable that satisfy the inequality.