Definition:Conditional Inequality

Definition

A conditional inequality is an inequality which is true for only certain values of the variables.

Examples

Arbitrary Example

The inequality:

$2 x + 1 > 11$

is a conditional inequality as it is true for $x > 5$ and false otherwise.

Also see

• Definition:Identity (Equation)

• Definition:Unconditional Inequality

• Results about conditional inequalities can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inequality
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inequality: 2.