Answer:
(-∞, -9) U (17, ∞)
Step-by-step explanation:
To solve the absolute value inequality |x-4| > 13, we need to first isolate the absolute value expression on one side of the inequality.
| x - 4 | > 13
x - 4 > 13 OR -(x - 4) > 13
Solving for x in each inequality, we get:
x > 17 OR x < -9
Therefore, the solution set in interval notation is:
(-∞, -9) U (17, ∞)
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