Question

Solve the following inequalities graphically in two dimensional plane:

2x -3y > 6

Answer 1

The given inequality is 2x-3y >6.

Draw the graph of lie 2x-3y =6.

Table of values satisfying the equation

2x -3y =6

$\begin{array}{ccc}x& 6& 9\\ y& 2& 4\end{array}$

Putting (0,0) in the given inequation, we have $2\times 0-3\times 0>6\Rightarrow 0>6$. which is false.

$\therefore$ Half plane of 2x -3y > 6 is away from origin.