Prove that the equation `2 sin x=|x|+a` has no solution for `a in ((3sqrt(3)-pi)/3, oo)`.

Explanation

To prove that the equation \( 2 \sin x = |x| + a \) has no solution for \( a \in \left(\frac{3\sqrt{3} - \pi}{3}, \infty\right) \), we can follow these steps:

### Step 1: Understand the Functions
We need to analyze the two functions involved in the equation:
- \( y = 2 \sin x \)
- \( y = |x| + a \)

### Step 2: Analyze \( y = 2 \sin x \)
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