Inequalities word problems A.5

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

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you represent a situation where you need at least a certain amount of money?

Back

You can represent this situation with an inequality, such as x ≥ amount, where x is the amount of money you have.

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.

Front

If Joan needs $100 and has $10 already, how do you express the amount she needs to earn?

Back

You express it as 5x + 10 ≥ 100, where x is the number of hours she babysits.

Front

What does the inequality 30 + 20x < 15 + 30x represent?

Back

This inequality represents the situation where the total cost of Tyler's Gym becomes less than the total cost of Cody's Gym after x months.

Front

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

Back

You set up an inequality based on the total amount needed and the amount earned per item sold.

Front

What does the term 'at least' indicate in an inequality?

Back

The term 'at least' indicates that the value must be greater than or equal to a certain number, often represented by '≥'.

Front

How can you express a situation where you have a certain amount and need to keep a minimum balance?

Back

You can express this with an inequality, such as current amount + deposit ≥ minimum balance.

Front

What is the solution to the inequality x + 32 ≥ 80?

Back

The solution is x ≥ 48, meaning you need to earn at least $48 more.