Write the inequalities of the region represented on the number plane and contained in ABC?

To write the inequalities of the region represented on the number plane and contained in triangle ABC, we need to consider the coordinates of the vertices of the triangle.

Let's assume that the vertices of triangle ABC are A(x1, y1), B(x2, y2), and C(x3, y3).

The inequalities for the region contained in triangle ABC can be written as follows:

1. For point A(x1, y1):
- The inequality for the region above line AB can be written as: y > m1x + c1
- The inequality for the region above line AC can be written as: y > m2x + c2

2. For point B(x2, y2):
- The inequality for the region above line BA can be written as: y > m3x + c3
- The inequality for the region above line BC can be written as: y > m4x + c4

3. For point C(x3, y3):
- The inequality for the region above line CA can be written as: y > m5x + c5
- The inequality for the region above line CB can be written as: y > m6x + c6

By solving the equations of the lines passing through the vertices of the triangle, we can determine the inequalities that represent the region contained in triangle ABC on the number plane.

The inequalities are:
- x<0
- y<0