Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol < mean?

Back

The symbol < means 'less than'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. For example, x ≤ 10 means x can be 10 or any number less than 10.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. For example, y ≥ 5 means y can be 5 or any number greater than 5.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

How do you solve the inequality n - 4 ≥ 4?

Back

Add 4 to both sides: n ≥ 8.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

Is x = 9 a solution to the inequality x > 9?

Back

No, because 9 is not greater than 9.

Front

How do you solve the inequality y + 8 ≥ 9?

Back

Subtract 8 from both sides: y ≥ 1.