The three inequalities that is satisfied by all the points in the unshaded region include;
x > 4
y > 8
2x + y < 8
By critically observing the graph shown above, we can logically deduce that the dotted vertical line passes through the point (4, 0), it ultimately implies that it must be represented by the inequality x > 4 and shaded above the boundary line.
Since the dashed horizontal line passes through the point (0, 8), it ultimately implies that it must be represented by the inequality y > 8 and shaded above the boundary line.
Furthermore, the graph of the downward sloping straight dashed line has an x-intercept at (4, 0), a y-intercept at (0, 8) and shaded below, an inequality that represents the line can be written as follows;
x/4 + y/8 < 1
(2x + y)/8 < 1
2x + y < 8