8.18 Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

Front

What happens to an inequality when you add the same number to both sides?

Back

The inequality remains the same; adding the same number does not change the relationship between the two sides.

Front

What happens to an inequality when you subtract the same number from both sides?

Back

The inequality remains the same; subtracting the same number does not change the relationship between the two sides.

Front

What happens to an inequality when you multiply both sides by a positive number?

Back

The inequality remains the same; multiplying by a positive number does not change the relationship between the two sides.

Front

What happens to an inequality when you multiply both sides by a negative number?

Back

The inequality symbol must be flipped; multiplying by a negative number reverses the relationship.

Front

How do you represent a situation where one quantity is less than another using an inequality?

Back

You can use the '<' symbol to show that one quantity is less than another, for example, x < y means x is less than y.

Front

How do you represent a situation where one quantity is greater than another using an inequality?

Back

You can use the '>' symbol to show that one quantity is greater than another, for example, x > y means x is greater than y.

Front

What is the inequality for the total cost at Company A being less than Company B?

Back

3.5x + 14 < 0.5x + 22, where x is the number of cups.