Triangle inequality symbol

Question

Does anybody know what symbol to put above an inequality symbol < to indicate that the triangle inequality has been applied?

I would like a symbol like this (which is not in The Comprehensive Latex Symbol List)

And I tried the following

\mathrel{\triangle\!\!\!\!/}

but the two lines are not parallel:

Does anybody know how to somehow rotate the line to the correct angle? Any help is appreciated!

Answer 1

Here is a tikz picture

\documentclass{article}
\usepackage{tikz}
\DeclareRobustCommand\trineg{%
\begin{tikzpicture}[baseline,scale=.07]
\draw (0,0) -- (4,0) -- (2,3.46410161514) -- cycle;
\draw [domain=1:3.4] plot(\x,{(5.6-3.46410161514*\x)/-2});
\end{tikzpicture}}
\begin{document}
$\mathrel{\triangle\!\!\!\!/}$ test \trineg\ test $\trineg $
\end{document}