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, or equal to the other. It uses symbols like >, <, ≥, and ≤.

Front

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

Back

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

How do you set up an inequality for a budget constraint?

Back

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign, similar to solving an equation.

Front

How do you interpret the solution of an inequality?

Back

Front

What does it mean if an inequality has no solution?

Back

Front

How can you check if a value satisfies an inequality?

Back

To check if a value satisfies an inequality, substitute the value into the inequality and see if the statement is true.

Front

What is a real-world example of using inequalities?

Back

A real-world example of using inequalities is budgeting. If you have a maximum amount to spend, you can set up an inequality to determine how much you can spend on different items.

Front

Back

This inequality represents the maximum speed Katie can increase her speed without exceeding the speed limit of 45 mph, starting from 30 mph.