x<0<y+z

z!=0

Quantity A	Quantity B
(y+z)/x	y/z

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Here we can see that \(z\neq 0\). So z can either be 0 or 1.



how can z be 0 or 1 in the question it is not z factorial and according to the question answer must be B.
Because x is negative and is the denominator of equation A it will always be negative,
in Equation B z can never be Zero so any value we choose equation B will always be greater even if we choose y=0, it will still be zero which is greater than a negative number. Please check

Depending on the value of z Quantity B can be finite or infinite (as y cannot be 0 such that y/z can be written in 0/0 form).

Thus option D is the only possibility.