SOLUTION: How do I solve for the absolute value inequality: x > 6

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Does your problem look like this: ???





Start with the given inequality


Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule




So our solution is simply


or


which looks like this in interval notation





if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles