Inequalities Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you represent a situation where a total cost must be less than a certain amount?

Back

You can represent it using an inequality, such as x + y < total amount.

Front

If a DJ charges $125 per hour and an assistant costs $55, how would you express the total cost for x hours?

Back

The total cost can be expressed as 125x + 55.

Front

What is the inequality for a situation where you want to keep costs under $600?

Back

The inequality would be 125x + 55 < 600.

Front

How do you express that someone can read at least a certain number of words per minute?

Back

You would use an inequality like x ≥ number of words.

Front

What does the inequality m > 41 represent in a real-world context?

Back

It represents a situation where a quantity, m, is greater than 41, such as points scored.

Front

If you have a budget of $20 and spend $3.50 on drinks, how would you express the remaining budget for tacos?

Back

You would express it as 1.75t + 3.50 ≤ 20.

Front

What is the minimum number of hours needed to earn a certain amount if paid per hour?

Back

You can express it as an inequality, such as 5x + 10 ≥ total amount needed.