Solving an absolute value inequality by rewriting as a compound inequality

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👉 Learn how to solve multi-step absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality where there are more terms apart from the absolute value term in the same side of the inequality sign as the absolute value term, we first isolate the absolute value term. i.e. make the absolute value term the subject of the formula.

After isolating the absolute value term, we then create the two cases of absolute value problems: the positive case and the positive case. For the negative case, we flip the inequality sign. This results in a compound inequality which we then solve accordingly and graph our solution on a number line.

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✅Solve Absolute Value Inequalities
✅Solve Absolute Value Inequalities | Easy
✅Solve Absolute Value Inequalities | Medium
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