Find the linear inequalities for which the shaded area is the solution set in the figure given below.

Question

Philoid · Accepted Answer

We have seen that the shaded region and origin are on the opposite side of the line

For (0,0) we have . So the shaded region satisfies the inequality .

We have seen that the shaded region and origin are on the opposite side of the line

For (0,0) we have . So the shaded region satisfies the inequality .

We have seen that the shaded region and origin are on the same side of the line

For (0,0) we have . So the shaded region satisfies the inequality .

We have seen that the shaded region and origin are on the same side of the line

For (0,0) we have . So the shaded region satisfies the inequality .

Thus the linear inequation comprising the given solution set are , , ,