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

What does it mean to solve an inequality?

Back

Solving an inequality involves finding all values of the variable that make the inequality true.

Front

What is the inequality symbol for 'greater than or equal to'?

Back

The symbol is '≥'.

Front

What is the inequality symbol for 'less than'?

Back

The symbol is '<'.

Front

How do you represent a situation where a person needs to save at least a certain amount of money?

Back

You can represent it with an inequality, such as x + current amount ≥ goal amount.

Front

If Ruby has $60 and wants to save at least $200, what inequality represents her savings plan?

Back

5x + 60 ≥ 200.

Front

What is the first step in solving the inequality 5x + 60 ≥ 200?

Back

Subtract 60 from both sides to isolate the term with the variable.

Front

What does the solution x ≥ 28 mean in the context of Ruby's savings?

Back

It means Ruby needs to invest at least 28 weeks of her allowance to reach her savings goal.

Front

How do you express a situation where a person earns a commission on sales?

Back

You can express it as total pay = base salary + commission rate × sales.

Front

If Griffin earns a base salary of $300 and wants to earn at least $550, what inequality represents his sales requirement?

Back

0.04x + 300 ≥ 550.