Sketch the region of relation `[x] + [y] = 5, x, y ge 0`, where `[*]` denots the greatest integer function.

Explanation

To sketch the region defined by the equation \([x] + [y] = 5\) where \(x, y \geq 0\), we will follow these steps:

### Step 1: Understand the Greatest Integer Function
The greatest integer function, denoted as \([x]\), gives the largest integer less than or equal to \(x\). For example, \([2.3] = 2\) and \([3] = 3\).

### Step 2: Set Up the Equation
We need to analyze the equation \([x] + [y] = 5\). This means we are looking for pairs of integers \([x]\) and \([y]\) such that their sum equals 5.

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