TeXipedia

gtrless

Represents a mathematical relation indicating that one quantity can be either greater than or less than another, commonly used in inequality statements.

Overview

Serves as a versatile comparison operator in mathematical expressions where the relationship between quantities may vary or is undetermined.

  • Frequently used in analysis and algebra to describe variable relationships
  • Common in proofs and mathematical reasoning where the direction of inequality needs to be established
  • Appears in optimization problems when comparing function values
  • Often employed in statistical hypothesis testing when discussing test statistics

Examples

Comparing two variables that may be greater or less than each other depending on conditions.

x≷y for x≠yx \gtrless y \text{ for } x \neq y 
x \gtrless y \text{ for } x \neq y

Expressing a relationship between functions that intersect.

f(x)≷g(x) when x≷x0f(x) \gtrless g(x) \text{ when } x \gtrless x_0 
f(x) \gtrless g(x) \text{ when } x \gtrless x_0

Describing statistical hypothesis testing with two-tailed tests.

Test statistic T≷Critical value\text{Test statistic } T \gtrless \text{Critical value} 
\text{Test statistic } T \gtrless \text{Critical value}