How to create self check for graphing inequalities

So, I am trying to make a tool that students can use during independent work to help them graph 2-variable inequalities. For example, if they are doing a worksheet, instead of waiting for me, they can graph the inequality on the graph and type in the inequality in the box and then the syntax will say “Correct” or “Try Again”.

I want the graph to still have moveable points (should be good). What needs to happen next is to have students input the inequality in the latex input field and have Desmos check it against the line created when they moved the points and selected the shading. Not sure where to start with the code for this, sorry!
https://teacher.desmos.com/activitybuilder/custom/6776c82206e4d95fd8d59179

I just adapted something I had to make this. Let me know if it is doing what you need.
check a linear inequality tool • Activity Builder by Desmos Classroom

It was easier for me to work from my own base than working from what you linked. If you want me to take a look at that and give suggestions, I am happy to do that as well.

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That’s basically what I want, so I’m just gonna use it! Thanks!

Whoops. Do you know any way to also let it successfully check an inequality in standard form?

I thought it worked but not quite. I just added in a second screen that is cleaned up a bit and should work for both forms.

When I tested y+x>3, it does not work.

Did you try the second screen? It works there.

Thanks! This will be so helpful!

When I put in a constraint as x=2 and graphed the solid vertical line at x=2 and put the ‘test point’ on the line, the tool did not recognize it as valid. Do you know why?

Also, is it possible to enter an equation into a latex with code parse-ing an inequality?