<\/span><\/h3>\n\nSince absolute value can result in two different outcomes (positive or negative), you will need to consider both possibilities. Set up two separate cases: one where the expression inside the absolute value is positive, and one where it is negative.<\/p>\n
<\/span>3. Solve for the Positive Case<\/span><\/h3>\n\nIn the positive case, simply remove the absolute value bars and solve the inequality as you normally would.<\/p>\n
<\/span>4. Solve for the Negative Case<\/span><\/h3>\n\nFor the negative case, remove the absolute value bars and negate the expression inside them (i.e., change the sign of the inequality). Then solve the inequality.<\/p>\n
<\/span>5. Combine the Solutions<\/span><\/h3>\n\nOnce you have solved for both cases, consider how the solutions overlap or intersect. The final solution will be the combination of both cases.<\/p>\n
<\/span>6. Check Your Answer<\/span><\/h3>\n\nAlways remember to check your solution by plugging it back into the original inequality. Ensure that it satisfies the inequality and makes sense in the context of the problem.<\/p>\n
<\/span>7. Pay Attention to Inequality Signs<\/span><\/h3>\n\nRemember that the inequality sign may change when solving for the negative case. Be sure to adjust the sign accordingly.<\/p>\n
<\/span>8. Practice, Practice, Practice<\/span><\/h3>\n\nSolving inequalities with absolute value can be tricky at first, but like any math skill, it improves with practice. Work on a variety of problems to strengthen your understanding.<\/p>\n
<\/span>9. Understand the Concept of Absolute Value<\/span><\/h3>\n\nTo master solving inequalities with absolute value, it’s important to have a solid understanding of what absolute value represents and how it functions.<\/p>\n