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geqslant

Represents a greater-than-or-equal-to relationship with a slanted equals portion, commonly used in mathematical inequalities.

Overview

Provides a visually distinct alternative to the standard greater-than-or-equal-to symbol, featuring a slanted equals line that some mathematicians prefer for aesthetic or clarity reasons.

  • Popular in advanced mathematics and theoretical computer science.
  • Often used when writing formal proofs or mathematical definitions.
  • Particularly common in analysis, algebra, and set theory where precise inequality notation is crucial.
  • Part of a family of slanted relation symbols that provide consistent styling in mathematical documents.

Examples

Expressing a greater than or equal to relationship with slanted symbol in an inequality.

x⩾5x \geqslant 5 
x \geqslant 5

Using the slanted greater than or equal to symbol in a set definition.

S={x∈R:x⩾0}S = \{x \in \mathbb{R} : x \geqslant 0\} 
S = \{x \in \mathbb{R} : x \geqslant 0\}

Showing a constraint in an optimization problem using the slanted greater than or equal to symbol.

minimize f(x) subject to g(x)⩾0\text{minimize } f(x) \text{ subject to } g(x) \geqslant 0 
\text{minimize } f(x) \text{ subject to } g(x) \geqslant 0