Plot the region in the first quadrant in which points are nearer to the origin than to the line `x=3.`

Explanation

To solve the problem of plotting the region in the first quadrant where points are nearer to the origin than to the line \(x = 3\), we will follow these steps:

### Step 1: Understand the Problem
We need to find the points \((x, y)\) in the first quadrant that are closer to the origin \((0, 0)\) than to the line \(x = 3\).

### Step 2: Determine the Distances
1. **Distance from the origin**: The distance from a point \((x, y)\) to the origin is given by:
\[
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