Question

Solve the following inequalities graphically in two dimensional plane:

$y+8\ge 2x$

Answer 1

The given inequality is $y+8\ge 2x$ i.e. $2x-y\le 8$.

Draw the graph of the line 2x-y =8.

Table of value satisfying the equation

2x -y =8

$\begin{array}{ccc}x& 5& 6\\ y& 2& 4\end{array}$

Putting (0,0) in the given inequation, we have $2\times 0-0\le 8\Rightarrow 0\le 8$, which is true.

$\therefore$ Half plane of $2x-y\le 8$ is towards origin.