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 '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 needs to earn at least a certain amount?

Back

You can represent this with an inequality, such as 'earnings ≥ required amount'.

Front

If Johnny earns $15 per hour and wants to earn at least $105, what inequality represents this situation?

Back

15h ≥ 105.

Front

What is the first step to solve an inequality?

Back

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

Front

How do you solve the inequality 15h ≥ 105 for h?

Back

Divide both sides by 15: h ≥ 7.

Front

What does it mean if a solution to an inequality is 'x < 5'?

Back

It means that x can be any number less than 5.

Front

In the context of speed limits, how would you express that a speed must not exceed a certain limit?

Back

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

Front

If Katie is going 30 mph and the speed limit is 45 mph, what inequality represents how much she can speed up?

Back

30 + s ≤ 45.