Question

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

Answer 1

The intersection of two half planes 

Answer 2

In solving a two-order linear inequality, say


`y>m_1 x` and
`y \ge m_2 x +c`

We graph the corresponding linear equations;


`\left \{ {{y=m_1 x} \atop {y= m_2 x+c}} \right.`

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