Inequalities in math blocks

[Rudolf Adamkovič]

The following Org markup does not render properly in HTML export:

- foo $a<b$ bar foo $b>a$ bar 

In Emacs, I see no signs of problems, such as broken math 
highlighting. Further, when I export to LaTeX, the inequalities 
render properly. Does one have to use \lt and \gt instead of < and 
> all the time? If so, why allow < and > characters in math 
blocks? I ask because, when I reorganize my Org document, it 
breaks math "at random" when I use < and > and Emacs does not tell 
me about it.
R+
--
Logic is a science of the necessary laws of thought, without which 
no employment of the understanding and the reason takes place. -- 
Immanuel Kant, 1785  Rudolf Adamkovič <salutis@me.com> 
Studenohorská 25 84103 Bratislava Slovakia  [he/him]