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User
Can you help me solve this:
|x-1|/x > 4
AI
I'll help you solve this inequality step by step.
Step 1: Understand the domain
Since we have |x-1|/x > 4, we need x ≠ 0 (division by zero is undefined).
Step 2: Consider cases
Case 1: x > 0
When x > 0, we can multiply both sides by x:
|x-1| > 4x
Case 1a: x ≥ 1
x - 1 > 4x
-1 > 3x
x < -1/3
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