Determine what signs on values of x and y would make the statement true. Assume that x and y are not 0.
-$$\frac { x ^ { 3 } } { y } 0$$
A) $x$ and $y$ must be positive.
B) $x$ and $y$ have the same sign.
C) $x$ and $y$ have different signs.
D) $x$ and $y$ must be negative.

Question

Determine what signs on values of x and y would make the statement true. Assume that x and y are not 0.
-$$\frac { x ^ { 3 } } { y } > 0$$
A) $x$ and $y$ must be positive.
B) $x$ and $y$ have the same sign.
C) $x$ and $y$ have different signs.
D) $x$ and $y$ must be negative.

Quizplus · Accepted Answer

For the fraction $\frac{x^3}{y}$ to be greater than 0, $x^3$ and $y$ must either both be positive or both be negative. Since $x^3$ retains the sign of $x$, this means $x$ and $y$ must have the same sign.

Determine What Signs on Values of X and Y Would x3y>0\frac { x ^ { 3 } } { y } > 0yx3​>0

Determine What Signs on Values of X and Y Would $\frac { x ^ { 3 } } { y } > 0$