INDEX
Numbers and Sets
Complex Numbers
Exponentiation
Algebraic Transformations
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Algebraic Equations and Inequalities
Ship

Basic Conceptions

Properties of Equations and Inequalities

Graphical Interpretation of Solutions

Linear Equations and Inequalities

Linear Equations

Linear Inequalities

Linear Equations and Inequalities Involving Absolute Values

Linear Equations Involving Absolute Value

Linear Equations Involving a Few Absolute Values

Linear Inequalities Involving Absolute Value

Quadratic Equations and Inequalities

Quadratic Equations
Quadratic Equations and Quadratic Functions

Extreme Value of Quadratic Function

Quadratic Formula

Solving Quadratic Equations by Factoring

Quadratic Inequalities


Linear Inequalities
Key Topics Remaining:   Linear Equations Involving Absolute Values » Linear Inequalities Involving Absolute Values » Quadratic Equations » Quadratic Equations and Quadratic Functions » Extreme Value of Quadratic Function » Quadratic Formula » Solving Quadratic Equations by Factoring » Quadratic Inequalities

A linear inequality in one variable can be put into one of the following forms,

                   a x + b > 0                    (*)

or

                    a x + b ≥ 0,                    (**)

where  a  and  b  are constants  (a ≠ 0);  x  is the variable.

Inequality (*) is called a strict inequality, while inequality (**) is an unstrict inequality. The only difference between them is whether the endpoint of the interval is included in the solution set or not.

The solution set for inequality (*):

The solution set for inequality (**):


Examples
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