Solving 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?

Back

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

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

Solve the inequality: x / 5 ≤ 3.

Back

Multiply both sides by 5: x ≤ 15.

Front

When graphing the inequality x ≤ 3, what type of dot is used?

Back

A closed dot is used to indicate that the endpoint is included.

Front

Solve the inequality: -5m < 10.

Back

Divide both sides by -5 (flip the sign): m > -2.