Solving Inequalities

x > 2

≤, ≥

x ≥ -10

<, >

C

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Graphing an inequality involves representing the solutions of the inequality on a number line, using open or closed dots to indicate whether endpoints are included.

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.

To solve a one-variable inequality, isolate the variable on one side of the inequality sign using inverse operations.

The direction of the inequality sign indicates the relationship between the two expressions and affects how the solution is interpreted.