Question
Solve the following inequality graphically in two-dimensional plane:
x + y < 5
Solution
First, we draw the dotted line to represent the graph of x + y = 5
x 0 5
y 5 0
Now, let us take a point O(0, 0)
Substitute in given inequality, 0 + 0 < 5, i.e., 0 < 5 which is true.
Therefore, origin O is a solution of given inequality.
From these observations, the graph is given below, in which the shaded portion represents the solution of the given inequality which contains O(0, 0).
