Draw the region of relation `[x][y]= 6, x, y ge 0`. Here `[*]` denotes the greatest integer function.

Explanation

To solve the problem of drawing the region of the relation \([x][y] = 6\) where \(x, y \geq 0\) (with \([.]\) denoting the greatest integer function), we can follow these steps:

### Step 1: Identify the factors of 6
The first step is to identify the pairs of integers \((m, n)\) such that \(m \cdot n = 6\). The possible pairs are:
- (1, 6)
- (2, 3)
- (3, 2)
- (6, 1)