Find the number of solutions of `sinx=x/(10)`

Explanation

To find the number of solutions for the equation \( \sin x = \frac{x}{10} \), we can follow these steps:

### Step 1: Understand the Range of the Functions
We know that the sine function, \( \sin x \), oscillates between -1 and 1 for all real values of \( x \). Therefore, we can conclude that:
\[ -1 \leq \sin x \leq 1 \]
Since \( \sin x = \frac{x}{10} \), we also need \( \frac{x}{10} \) to lie within this range. This gives us:
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