|
As shown, the shaded area is the solution to the inequality y - 1 > (x - 2)2.
Similarly, we can find the solution to y < x + 1, as shown below.
|
ExerciseSolve the following system of inequalities: |
|
y - 1 > (x - 2)2
y < x + 1 |
SolutionFirst, draw the curve y - 1 = (x - 2)2, as shown below. |
|
|
As shown, the shaded area is the solution to the inequality y - 1 > (x - 2)2.
Similarly, we can find the solution to y < x + 1, as shown below.
|
|
When we put both solution graphs on one chart, we can find the overlapped area, that is, the area that satisfies both inequalities. This overlapped area is the solution to the system, as shown below.
|