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Problem Solving (PS) | If x^4*y < 0 and x*y^4 > 0 which of the following must be true?

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shamikba wrote:

If \((x^4)(y) < 0\) and \((x)(y^4) > 0\) which of the following must be true?

A) x > y
B) y > x
C) x = y
D) x < 0
E) y > 0

\((x^4)(y) < 0\) , is negative.

The term\(x^4\) , because raised to an even power, is positive.

So for the result to be negative,\(y\) MUST be negative.

That is, we have
\((x^4) (y) < 0\) ----->
\((+ term) (-) < 0\) (result is negative)

Next:\((x) (y^4) > 0\) is positive.

Now
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