- What information is presented in the problem?
- Is it a "greater than," "less than," a "greater than" and "equal to," or a "less than" or "equal to" inequality?
- Solve inequalities the same way as equations, except when multiplying or dividing by a negative number.
- When adding or subtracting, add or subtract the inverse.
- When multiplying or dividing, the reciprocal is used to solve for the variable.
- If multiplying or dividing by a negative number, reverse the inequality symbol.
- If the inequality includes the endpoint, the point is filled in.
- If the inequality does not include the endpoint, the point is not filled in.
- If the solution is greater than the endpoint, the graph will go to the right.
- If the solution is less than the endpoint, the graph will go to the left.