How to solve a one variable absolute value inequality or statement

👉 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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