Solve the given inequality graphically in a two-dimensional plane: $x+y < 5$

(N/A) The graphical representation of $x+y=5$ is given as a dotted line in the figure below.
This line divides the $xy$-plane into two half-planes,$I$ and $II$.
Select a point (not on the line),which lies in one of the half-planes,to determine whether the point satisfies the given inequality or not.
We select the point as $(0,0)$.
It is observed that,
$0+0 < 5$ or $0 < 5$,which is true.
Therefore,the half-plane $I$ is the solution region of the given inequality.
Also,it is evident that any point on the line does not satisfy the given strict inequality.
Thus,the solution region of the given inequality is the shaded half-plane $I$ excluding the points on the line.