Was ist der Unterschied zwischen There is no other alternative to X und There are no other alternatives to X ?Du kannst auch einfach Beispielsätze geben.

You can use these interchangeably.

I think which one you choose says more about how many choices YOU expect there to be.

For example, if a salesman at a shoe store brings me a few pairs of shoes, but I'm not interested in any of them, I might ask
"Are there any alternatives to these?"
because I don't think there is only one more style of shoe.

On the other hand, if my doctor told me I have to get surgery to fix an issue with my liver, I might ask
"Is there no alternative?"
because I want to know whether an alternative even exists.

BUT, again, they're interchangeable. In both my examples you can use the alternative saying and it would still make sense.

hope this helps!