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 solve the inequality x - 4 ≤ 6?

Back

Add 4 to both sides: x ≤ 10.

Front

If Aiko sells books for $12 each and wants to make more than $180, what inequality represents this situation?

Back

12x > 180, where x is the number of books sold.

Front

How do you find the minimum hours Johnny needs to work to earn at least $105 if he earns $15 per hour?

Back

Set up the inequality: 15h ≥ 105 and solve for h.

Front

What inequality represents that all items at Pat's Pasta cost more than $10?

Back

i > 10, where i is the price of an item.

Front

What inequality represents the age requirement to buy a Powerball lottery ticket?

Back

p ≥ 18, where p is the person's age.

Front

What is the first step in solving the inequality 15h ≥ 105?

Back

Divide both sides by 15 to find h.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.