Mathguru – Help – Solving a simple linear in equation.

6.1 Introduction > No. 13

Solving a simple linear in equation.

Post to:

Explanation:

Linear inequality

In mathematics a linear inequality is an inequality which involves a linear function.

Linear inequalities in real numbers

Definitions

When two expressions are connected by 'greater than' or 'less than' sign, we get an inequation.

When operating in terms of real numbers, linear inequalities are the ones written in the forms

$Description: f(x) < b \,$ or $Description: f(x) \leq b$ ,��

where $f$ $(x)$ is a linear functional in real numbers and b is a constant real number.

The above are commonly written out as

$Description: a_0 + a_1 x_1 + a_2 x_2 + \cdots + a_n x_n < 0$

$Description: a_0 + a_1 x_1 + a_2 x_2 + \cdots + a_n x_n \leq 0$

Sometimes they may be written out in the forms

$Description: a_1 x_1 + a_2 x_2 + \cdots + a_n x_n < b$

$Description: a_1 x_1 + a_2 x_2 + \cdots + a_n x_n \leq b$

Here $Description: x_1,\ x_2,...,x_n$ are called the unknowns,

$Description: a_{0},\ a_{1},\ a_{2},...,\ a_{n}$ are called the coefficients, and b is the constant term.

A linear inequality looks exactly like a linear equation, with the inequality sign replacing the equality sign. (Our solved example in mathguru.com uses this concept)

http://en.wikipedia.org/wiki/Linear_inequality

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.