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 needs to have at least a certain amount of money?

Back

You can represent this situation using an inequality, such as x ≥ amount, where x is the amount of money the person has.

Front

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

Back

'≥' means 'greater than or equal to'.

Front

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

Back

'>' means 'greater than'.

Front

How can you express a situation where a person has more than a certain amount of money saved?

Back

You can express this using an inequality, such as s > amount, where s is the amount saved.

Front

If a person earns a certain amount per hour, how can you express the total earnings in terms of hours worked?

Back

Total earnings can be expressed as earnings per hour multiplied by hours worked, such as total earnings = rate * hours.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

How do you solve the inequality 12x + 25 ≥ 200 for x?

Back

Subtract 25 from both sides to get 12x ≥ 175, then divide both sides by 12 to find x ≥ 14.58.

Front

What is the importance of understanding inequalities in real-life situations?

Back

Understanding inequalities helps in making decisions based on constraints, such as budgeting, saving, and planning.

Front

What does the inequality 14x + 30 ≥ 240 represent in a real-world context?

Back

It represents the amount of money Lea needs to earn from washing cars to reach her goal of at least $240.