Solve the following system of linear inequalities graphically.
`x+ygeq5` ... (1)
`x-ylt=3` ... (2)

Explanation

The graph of linear equation `x + y = 5` is shown in Figure.

The solution of the inequality (1) is represented by the shaded region above the line `x + y = 5`, including the
points on the line.

On the same set of axes, we draw the graph of the equation `x - y = 3` as
shown in Fig. Then we note that inequality (2) represents the shaded region above the line x – y = 3, including the points on the line.

Clearly, the double shaded region, common to the above two shaded regions is the required solution region of the given system of inequalities.

`[XI_06_SLV_12]`