Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 1 means y is greater than or equal to 1.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, z ≤ 4 means z is less than or equal to 4.

Front

How do you solve the inequality x + 5 > 7?

Back

To solve x + 5 > 7, subtract 5 from both sides: x > 2.

Front

Is x = 12 a solution to the inequality x > 5?

Back

Yes, x = 12 is a solution because 12 is greater than 5.

Front

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

Back

No, x = 9 is not a solution because 9 is not greater than 9.

Front

How do you solve the inequality 4h < 8?

Back

To solve 4h < 8, divide both sides by 4: h < 2.

Front

What is the solution to the inequality y + 8 ≥ 9?

Back

To solve y + 8 ≥ 9, subtract 8 from both sides: y ≥ 1.