Solve `|1+ (3)/(x)| gt 2`

Explanation

To solve the inequality \( |1 + \frac{3}{x}| > 2 \), we can break it down into two cases based on the definition of absolute value.

### Step 1: Set up the two cases
The absolute value inequality \( |A| > B \) can be rewritten as two separate inequalities:
1. \( A > B \)
2. \( A < -B \)

In our case, we have:
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