Which of the following will be the solution for a two-order inequality?
a point
a line
a half-plane
the intersection of two half-planes

In solving a two-order linear inequality, say

and

We graph the corresponding linear equations;



Each of the two equations divides the cartesian plane into half-planes.

By testing for points, we identify the half-plane that satisfies each inequality.

The intersection of the two half-planes gives us a set of points that satisfies the two inequalities simultaneously.

Therefore the solution to the two-order inequality is the intersection of two half-planes.

The correct answer is option C