how do you solve this..I have idea even where to begin.

If |x| = 11 and |y| = 23 and | x - y| = 30, find |x + y|

We're asked:
If |x| = 11 and |y| = 23 and | x - y| = 30, find |x + y|
From this, |x| = 11, we know x=11 or -11
From this, |y| = 23 we know y=23 or -23
However, there is no way to get | x - y| = 30| using these values. Make sure you have the correct values here.

ya i have the right values it came directly from my sheet lol...

Well, since there are only two choices for each of x and y, try them in |x-y| and see what you get. Somethin' is off somehwere...I dunno??

It seems like there may be an error in the given values. Since the absolute difference between two numbers cannot be greater than the sum of their absolute values, the equation |x - y| = 30 cannot hold true when |x| = 11 and |y| = 23.

If you have double-checked the values and they are indeed correct, then it looks like there might be a mistake in the problem itself. I would recommend rechecking the given information or consulting with your instructor or classmates to clarify any confusion.