Any value of y in the interval (10, 11) will make the equation true, for example....
⌈10.1⌉⋅⌊10.1⌋=11⋅10=110
But also, any value of y in the interval (-11, -10) will make the equation true, for example...
⌈−10.9⌉⋅⌊−10.9⌋=−10⋅−11=110
Since the problem says y < 0 , the only values of y that work are those in the interval (-11, -10) .
Any value of y in the interval (10, 11) will make the equation true, for example....
⌈10.1⌉⋅⌊10.1⌋=11⋅10=110
But also, any value of y in the interval (-11, -10) will make the equation true, for example...
⌈−10.9⌉⋅⌊−10.9⌋=−10⋅−11=110
Since the problem says y < 0 , the only values of y that work are those in the interval (-11, -10) .