Linear Inequations

An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).

ax + by ³ 0, ax + by £ 0, ax + by ³ c, ax + by £ c where a, b 0 are linear inequations of two variables, (x, y) of degree 1. ax ³ c, ay ³ k are also linear inequations. They are single variable inequations.

Solution set

The set of ordered pairs (x,y), which satisfy the given inequation, is called the solution set of the inequations.

Graphical representation of linear inequations on the real number line

A real number line can be used to represent the solution set of an inequation (Linear).

The convention is that O (a hollow circle) marks the end of a range with a strict inequality (i.e. < or >) and (a darkened circle) marks the end of a range involving equality as well as inequality.

Examples: