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, or equal to the other.

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 person can speed up but not exceed a certain speed limit?

Back

You can represent this with an inequality, such as 'current speed + speed increase ≤ speed limit'.

Front

If a person has a goal of saving a certain amount of money, how can you express the amount they need to save weekly?

Back

You can express this with an inequality based on their current savings and the amount they save weekly.

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 30 + s ≤ 45?

Back

Subtract 30 from both sides to get s ≤ 15.

Front

What does it mean if an inequality has 'at least' in the wording?

Back

It means the value is greater than or equal to a certain number, represented by '≥'.

Front

How can you express the statement 'You must be no more than 62 inches tall' mathematically?

Back

This can be expressed as k ≤ 62, where k is the height.

Front

What is the solution to the inequality 5.50x ≥ 5225?

Back

To solve for x, divide both sides by 5.50, resulting in x ≥ 950.