The area (in sq. untis) bounded by `[x+y]=2` with the co - ordinate axes is equal to (where `[.]` denotes the greatest integer function)

Answer

To find the area bounded by the line defined by the greatest integer function \([x+y] = 2\) with the coordinate axes, we can follow these steps:

### Step 1: Understand the Greatest Integer Function
The expression \([x+y] = 2\) means that \(x+y\) must be in the interval \([2, 3)\). This is because the greatest integer function \([x+y]\) gives the largest integer less than or equal to \(x+y\). Therefore, we can say:
\[ 2 \leq x+y < 3 \]