Final answer:
To solve an inequality, you need to follow a series of steps. First, identify the knowns and unknowns. Then, apply mathematical operations to isolate the variable. Simplify the inequality and represent it visually. Finally, check the solution to ensure it is valid.
Step-by-step explanation:
- Identify the knowns and unknowns: Determine what information is given and what needs to be solved for in the inequality.
- Apply mathematical operations: Use mathematical operations such as addition, subtraction, multiplication, and division to isolate the variable on one side of the inequality.
- Simplify: Simplify the expression on both sides of the inequality to make it easier to solve.
- Draw a number line or use a graph: Represent the solution set of the inequality visually to better understand the range of values that satisfy the inequality.
- Check the solution: Substitute the value back into the original inequality to ensure it is a valid solution.