Single dollar sign delimiter is not a standard notation in LaTeX. However, most of mathematicians are using single dollar sing delimiter due to its convenience. So, it is crucial to enable it in your LMS. This article shows how to enable it in Moodle LMS.
First, navigate to Site administration -> Plugins -> Filters -> MathJax.

Then, Add following codes in MathJax Configuration box.

MathJax.Hub.Config({
config: ["Accessible.js", "Safe.js"],
errorSettings: { message: ["!"] },
skipStartupTypeset: true,
messageStyle: "none",
tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
processEscapes: true
}
});
Lastly, add $ in the Additional equation delimiters

Now, your LMS support single dollar sign delimiter. Enjoy!!!