TeXipedia

ge

Represents the greater than or equal to relationship between mathematical quantities.

Overview

Essential for expressing mathematical inequalities and comparisons, particularly in algebra, analysis, and formal mathematical proofs.

  • Commonly used in constraint specifications and mathematical optimization.
  • Appears frequently in set theory when defining ranges and intervals.
  • Important in computer science and programming for expressing logical conditions.
  • Often paired with its counterpart (less than or equal to) in mathematical statements.

Examples

Comparing two algebraic expressions using greater than or equal to.

x2+2x+1≥0x^2 + 2x + 1 \ge 0 
x^2 + 2x + 1 \ge 0

Defining a domain constraint for a variable.

for all x≥5\text{for all } x \ge 5 
\text{for all } x \ge 5

Expressing a solution to an inequality.

3x−4≥2  ⟹  x≥23x - 4 \ge 2 \implies x \ge 2 
3x - 4 \ge 2 \implies x \ge 2