Solving Inequalities

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

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

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

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

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

Subtract 3 from both sides: 2x < 4. Then divide by 2: x < 2.

Subtract 84 from both sides: -4x ≤ -32. Then divide by -4 (remember to flip the inequality): x ≥ 8.

You can represent it with the inequality 28 + 2x ≥ 50, where x is the time practiced in the afternoon.

An open circle is used for < and >, indicating that the endpoint is not included.

A closed circle is used for ≤ and ≥, indicating that the endpoint is included.