Solve the inequations graphically&;y<–3.

We have y < –3. Converting the given inequation into equation we obtain y = – 3. Clearly, it is a line parallel to x - axis at a distance of 3 units below it. The line y = – 3 divides the xy-plane into two regions one below it and the other above it. Consider the point O (0,0). We find that (0,0) does not satisfy the inequation y < – 3. So, the region represented by the given inequation is the region not containing the origin as show in fig. Clearly, it is solution set of the given inequation.