Solve the inequality . The solution set is written as a union of intervals: ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve an absolute value inequality with a greater than symbol and express the solution in interval notation.
Key Concept Explanation
The key concept here is understanding that the inequality can be split into two separate inequalities: or . Solving these inequalities will give the solution set.
Step-by-step Solution
1. Isolate the absolute value expression:
2. Set up two separate inequalities: or
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