Solve each of the following system of equation in `R :|x+1/3|>8/3`

Explanation

To solve the inequality \(|x + \frac{1}{3}| > \frac{8}{3}\), we can break it down into two cases based on the definition of absolute value.

### Step 1: Set Up the Cases
The inequality \(|A| > B\) can be split into two cases:
1. \(A > B\)
2. \(A < -B\)

In our case, \(A = x + \frac{1}{3}\) and \(B = \frac{8}{3}\). Therefore, we have:
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