There are rules that you can memorize about whether the answer to an an absolute value inequality will involve an "and" or "or" compound inequality, but if you work carefully, you won't need to memorize them. Rather, isolate the absolute value expression, replace it with + - parentheses as with an equation, split the inequality into two problems to solve, solve each, and graph them on the same number line. If your graphs come together, then it's an "and" solution, and if they go in opposite directions, then it's an "or" solution.
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