Inequalities Word Problems' Practice

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.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent a situation where a person wants to save a minimum amount of money?

Back

You can represent it using an inequality, such as: amount saved ≥ minimum amount.

Front

If Triniti withdraws $25 each week, how can we express the total amount withdrawn after x weeks?

Back

The total amount withdrawn after x weeks can be expressed as 25x.

Front

What is the first step to solve the inequality 500 - 25x ≥ 200?

Back

The first step is to isolate the variable x by subtracting 500 from both sides.

Front

How do you determine the number of years it takes for a tree to reach a certain height given its growth rate?

Back

You can set up an inequality based on the initial height and growth rate, then solve for the variable representing years.

Front

What is the minimum amount of money Joan needs to earn to buy a calculator?

Back

Joan needs to earn at least $100 to buy the calculator.

Front

How can you express the total earnings from babysitting if paid $5 per hour?

Back

Total earnings can be expressed as 5x, where x is the number of hours babysat.

Front

What does the inequality 5x + 10 ≥ 100 represent in Joan's situation?

Back

It represents the total amount she earns from babysitting (5x) plus the $10 from mowing, which must be at least $100.