Question

Solve the following inequalities graphically in two dimensional plane:

$x-y\le 2$

Answer 1

The given inequality is $x-y\le 2$.

Draw the graph of the line x -y =2.

Table of values satisfying the equation

x-y =2

$\begin{array}{ccc}x& 2& 3\\ y& 1& 2\end{array}$

Putting (0,0) in the given inequation, we have $0-0\le 2\Rightarrow 0\le 2$ which is true.

$\therefore$ Half plane of $x-y\le 2$ is towards origin.