**How Will This Worksheet on "Solve Linear Inequalities" Benefit Your Student's Learning?**

- Reinforces understanding of linear inequalities and their solutions.
- Develops critical thinking and analytical skills through problem-solving.
- Enhances interpretation of inequalities on number lines or coordinate planes.
- Applies math concepts to real-world scenarios through inequality modeling.
- Promotes logical reasoning in interpreting and evaluating inequality solutions.
- Prepares students for assessments with inequality-solving components.
- Encourages self-directed learning and builds confidence in problem-solving abilities.

**How to Solve Linear Inequalities?**

- Use addition, subtraction, multiplication, or division to isolate the variable on one side of the inequality.
- Simplify both sides of the inequality as much as possible (combine like terms, distribute if needed).
- If you multiply or divide both sides of the inequality by a negative number, flip the inequality sign.
- Perform the necessary arithmetic operations to isolate the variable.
- Write the solution in inequality form, interval notation, or graphically on a number line.
- Substitute the solution back into the original inequality to ensure it makes the inequality true.