Solution Guide for Solving Multi-Step Inequalities 5-3

Review each problem step by step to ensure all operations are correct. Focus on the proper order of actions–first isolating the variable, then simplifying both sides, and finally checking your solution against the inequality.

If the results don’t align, reassess your approach, especially looking for errors in sign manipulation or incorrect operations. Pay attention to whether each transformation maintains the inequality’s balance.

After reworking a problem, double-check by substituting your solution back into the original inequality to confirm that it satisfies the conditions. This verification will help solidify your understanding and improve future problem-solving accuracy.