A negated relational symbol indicating "not greater than or equal to" in inequalities and order theory.
Examples
Basic inequality comparison
5 \ngeq 7 \text{ since 5 is not greater than or equal to 7}
Function comparison
f(x) = x^2 \ngeq g(x) = x^3 \text{ for } x > 1
Set cardinality comparison
|A| \ngeq |B| \text{ where } A = \{1,2\}, B = \{1,2,3\}