A negated relation symbol indicating "not greater than or equal to" in inequalities and order comparisons.
Examples
Negating a greater than or equal relationship between numbers
x \ngeqslant y \text{ means that } x < y
Comparing sequence terms
a_{n+1} \ngeqslant a_n \text{ for some } n \in \mathbb{N}
Inequality constraint in optimization
f(x) \ngeqslant M \text{ on the interval } [a,b]