TeXipedia

ngeqslant

Represents a negated greater-than-or-equal-to relation with a slanted line through it, commonly used in mathematical inequalities.

Overview

Serves as a specialized mathematical operator for expressing strict inequality relationships, particularly useful in advanced mathematics and formal proofs.

  • Commonly appears in analysis, set theory, and abstract algebra
  • Often used when standard inequality symbols need explicit negation
  • Provides a more formal alternative to the basic 'not greater than or equal to' notation
  • Particularly valuable in academic papers and mathematical publications where precise notation is essential

Examples

Expressing a strict inequality in a mathematical constraint.

x≱5x \ngeqslant 5 
x \ngeqslant 5

Showing a sequence does not satisfy a bound condition.

an≱Mfor some n∈Na_n \ngeqslant M \quad \text{for some } n \in \mathbb{N} 
a_n \ngeqslant M \quad \text{for some } n \in \mathbb{N}

Comparing function values in analysis.

f(x)≱g(x)for x∈(0,1)f(x) \ngeqslant g(x) \quad \text{for } x \in (0,1) 
f(x) \ngeqslant g(x) \quad \text{for } x \in (0,1)