Solve the following inequalities graphically in two-dimensional plane: \[x+y<5\]
Solve the following inequalities graphically in two-dimensional plane: \[x+y<5\]

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: