Chaining multiple greater than/less than operators

Note that the original version if(10 < a < 0) is perfectly legal. It just doesn't do what you might (reasonably) think it does. You're fortunate that the compiler recognized it as a probable mistake and warned you about it.

The < operator associates left-to-right, just like the + operator. So just as a + b + c really means (a + b) + c, a < b < c really means (a < b) < c. The < operator yields an int value of 0 if the condition is false, 1 if it's true. So you're either testing whether 0 is less than c, or whether 1 is less than c.

In the unlikely case that that's really what you want to do, adding parentheses will probably silence the warning. It will also reassure anyone reading your code later that you know what you're doing, so they don't "fix" it. (Again, this applies only in the unlikely event that you really want (a < b) < c).)

The way to check whether a is less than b and b is less than c is:

a < b && b < c

(There are languages, including Python, where a < b < c means a<b && b<c, as it commonly does in mathematics. C just doesn't happen to be one of those languages.)

It's not possible, you have to split the check as you did in case 2.

No it is not possible.
You have to use the second way by splitting the two conditional checks.