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 using an inequality?

Back

You can represent this situation using the inequality format: rate * hours ≥ desired amount.

Front

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

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

How can you express a maximum height requirement using an inequality?

Back

You can express a maximum height requirement using the format: height ≤ maximum height.

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.

Front

How do you solve the inequality 0.85x + 375 > 450 for x?

Back

First, subtract 375 from both sides to get 0.85x > 75, then divide both sides by 0.85 to find x > 88.24.

Front

What is the significance of the 's' in the inequality 30 + s ≤ 45?

Back

The 's' represents the amount of speed Katie can increase without exceeding the speed limit.

Front

How do you represent a situation where a total cost must be kept under a certain amount using an inequality?

Back

You can represent this situation using the format: total cost < maximum amount.

Front

What is the inequality for the DJ's charges if they charge $125 per hour and offer a $55 discount?

Back

The inequality is 125x - 55 < 600, where x is the number of hours.