Solution:
Given inequality \[x+y<5\]
Now consider,
X | \[0\] | \[5\] |
y | \[5\] | \[0\] |
Let us draw a dotted line \[x+y=5\] in the graph (∵ \[x+y=5\] is excluded in the given question)
Let us take \[x+y<5\]
A point \[(0,0)\] is selected,
⇒ \[0+0<5\]
⇒ \[0<5\] (this is true)
Therefore, the solution region of \[x+y<5\]is below the line \[x+y=5\]. (That is origin is included in the region)
The graph is represented as: