TeXipedia

gt

Represents the greater-than relationship between mathematical values or expressions.

Overview

Serves as a fundamental mathematical comparison operator, particularly useful in expressing inequalities and logical conditions.

  • Common in mathematical proofs and formal logic statements
  • Used in set theory and number theory for comparing values
  • Appears frequently in computer science and programming contexts
  • Often combined with other operators to form compound relationships like 'greater than or equal to'
  • Essential for expressing constraints and bounds in mathematical expressions

Examples

Basic inequality showing one number is greater than another.

x>5x \gt 5
x \gt 5

Compound inequality showing a value greater than a lower bound.

f(x)>0    x>2f(x) \gt 0 \implies x \gt 2
f(x) \gt 0 \implies x \gt 2

Mathematical statement comparing function values.

sin(x)>1\sin(x) \gt -1
\sin(x) \gt -1