Checking an inequality

Hi -
I am working on an activity where students enter 3x+4<=2(x+7)-3 and if they enter any version of that, I want it to be counted as correct. What is the best way to achieve this?
Thanks!
Julia

When you say “any version of that,” do you mean any equivalent version (i.e. 3x+4 ≤ 2x+11 and x ≤ 7), or just 3x+4 ≤ 2(x+7)-3 and 2(x+7)-3 ≥ 3x+4?

I don’t want them to go as far as x≤7 but they could give 3x+4 ≤ 2(x+7)-3 and 2(x+7)-3 ≥ 3x+4, 3x+4≤2x+14-3, 3x+4≤2x+11, 2(x+7)-3 ≥ 3x+4, 2x+14-3 ≥ 3x+4

Try Slide 6 here:

You may want to hide the graph component, but hopefully it’s a good start for you.