Which equation has no solution?
|-x - 31 = 5
|2x– 11=0
|5 - 3x = -8
|-x + 9| = 0

the 3rd one

Step-by-step explanation:

the answer cannot be negative for absolute values. Unless, there is a negative sign outside the absolute value

Step-by-step explanation:

the 2nd line can be rewritten as y < x-3

So, any value that is less than both 4x+4 and x-3 will work

Pick any value you want for x, and figure y possibilities

x=0; x-3=-3, 4x+4=4, so y<-3 ... (0,-5) will work

I'm sure you can now come up with other pairs.