Isolate the variable on one side
Use inverse operations to simplify both sides
Keep the inequality balanced by doing the same operation to both sides
Reverse the inequality sign when multiplying or dividing by a negative number
Combine like terms
Distribute if needed
Clear fractions or decimals if helpful
Solve for the variable
Check the solution in the original inequality
Write the answer in interval notation, set notation, or on a number line
Use open circles for strict inequalities
Use closed circles for inclusive inequalities
Shade the direction that satisfies the inequality