Any value of y in the interval (10, 11) will make the equation true, for example....
\(\lceil{10.1}\rceil\cdot\lfloor{10.1}\rfloor\,=\,11\cdot10\,=\,110 \)
But also, any value of y in the interval (-11, -10) will make the equation true, for example...
\( \lceil{-10.9}\rceil\cdot\lfloor{-10.9}\rfloor\,=\,-10\cdot-11\,=\,110\)
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....
\(\lceil{10.1}\rceil\cdot\lfloor{10.1}\rfloor\,=\,11\cdot10\,=\,110 \)
But also, any value of y in the interval (-11, -10) will make the equation true, for example...
\( \lceil{-10.9}\rceil\cdot\lfloor{-10.9}\rfloor\,=\,-10\cdot-11\,=\,110\)
Since the problem says y < 0 , the only values of y that work are those in the interval (-11, -10) .