Greater Than or Equal in LaTeX (\geq)

Where it is used

Expresses that the left side is greater than or equal to the right side.

\geq and its alias \ge are interchangeable. Typing >= in math mode prints two separate characters, so use the command. Common contexts are lower bounds such as n \geq 1, the AM-GM inequality, and constraints in optimization like x_i \geq 0. The slanted form \geqslant is favored by some journals, and \geqq has a double bar. In order theory the reversed relation \succeq generalizes \geq. Keep a chain of inequalities pointing one direction where possible, since a \leq b \leq c reads more easily than mixing \leq and \geq.

Also listed under: Relations & Comparisons, Inequalities & Order

Minimal compilable example

Paste this into an empty .tex file and compile it with pdfLaTeX, XeLaTeX or LuaLaTeX.

\documentclass{article}
\begin{document}
Greater Than or Equal: $\geq$

\[ \frac{a+b}{2} \geq \sqrt{ab}, \quad a, b \geq 0 \]
\end{document}

Related symbols

• Implies\implies
• Less Than or Equal\leq
• If and Only If\iff
• Not Equal\neq
• For All\forall
• Approximately Equal\approx

Frequently asked questions

How do I write Greater Than or Equal in LaTeX?

Type \geq in math mode, for example $\frac{a+b}{2} \geq \sqrt{ab}, \quad a, b \geq 0$. It works in plain LaTeX without loading any package.

Which package do I need for \geq?

None. \geq is part of standard LaTeX, so it compiles with nothing in the preamble but the document class.

Can I use \geq in text mode, or only in math mode?

Only in math mode. Outside $...$ LaTeX stops with "Missing $ inserted", so write $\geq$ in running text. If you only need the glyph in text, paste the Unicode character ≥ instead (with XeLaTeX or LuaLaTeX and a font that has it).