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Solve and graph an absolute value inequality

3,981 views · Published 19 January 2013 · 4:31 · Indexed 21 September 2026

Channel: Brian McLogan · 2013 · Education

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👉 Learn how to solve 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, we 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 that we then solve accordingly and graph our solution on a number line.

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