The region bounded below by y=x refers to the area below the line y=x on a coordinate plane. This means that all points with a y-coordinate less than or equal to the corresponding x-coordinate are included in this region.
The point P(0,2) is located at the coordinate (0,2) on the coordinate plane. This point is within the region bounded below by y=x because its y-coordinate (2) is less than the corresponding x-coordinate (0).
Yes, the point P(0,2) is included in the region bounded below by y=x because it meets the criteria of having a y-coordinate less than or equal to the corresponding x-coordinate.
The boundaries of the region bounded below by y=x are the line y=x itself and the x-axis. The region extends infinitely in the negative y direction and is bounded by the x-axis (y=0) in the positive y direction.
To determine if a point is in the region bounded below by y=x, you can compare the y-coordinate of the point to the corresponding x-coordinate. If the y-coordinate is less than or equal to the x-coordinate, then the point is in the region.