- A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane.
- A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane.
The graph of a linear inequation involving sign '
' or '
' is a closed half-plane.
- A half-plane in the x-y plane is called an open half-plane if the points on the line separating the half-planes are not included in the half-plane.
The graph of a linear inequation involving sign '<' or '>' is an open half-plane.
- Two or more linear inequations are said to constitute a system of linear inequations.
- The solution set of a system of linear inequations is defined as the intersection of solution sets of linear inequations in the system.
General Rules
- If a > b, then we have the following rules:
- a + l > b + l for any l
R
- a - l > b - l for any l
R
- - a < - b
- la > lb for any positive real number l
- la < lb for any negative real number l
