Writing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

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 quantity is at most a certain value?

Back

You use the '≤' symbol. For example, if a tree can grow to at most 19 feet, you write: height ≤ 19.

Front

How do you represent a situation where a quantity is at least a certain value?

Back

You use the '≥' symbol. For example, if Mike has at least $250, you write: m ≥ 250.

Front

If Johnny earns $15 per hour and wants to earn at least $105, how do you express this as an inequality?

Back

15h ≥ 105, where h is the number of hours worked.

Front

What is the first step to solve the inequality 15h ≥ 105?

Back

Divide both sides by 15 to isolate h: h ≥ 7.

Front

How do you express a situation where a total amount cannot exceed a certain value?

Back

You use the '≤' symbol. For example, if Zach can spend at most $100, you write: s ≤ 100.

Front

What is the inequality for a situation where a person has a certain amount of money and can spend some of it?

Back

If they have a total amount and spend some, you can express it as: total - spent ≥ remaining.

Front

How do you represent the total cost of items if you have a budget?

Back

You can express it as: cost1 + cost2 + ... + costN ≤ budget.