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 inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you solve the inequality 2x > 12?

Back

To solve 2x > 12, divide both sides by 2: x > 6.

Front

How do you solve the inequality -3x ≤ 18?

Back

To solve -3x ≤ 18, divide both sides by -3 and flip the inequality sign: x ≥ -6.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What is the solution set for the inequality x > 5?

Back

The solution set for x > 5 includes all real numbers greater than 5.

Front

What is the solution set for the inequality x ≤ 6?

Back

The solution set for x ≤ 6 includes all real numbers less than or equal to 6.