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 the term \(y^4\) is positive (raised to an even power). For the result to be positive, \(x\) MUST be positive.

We have

\((x) (y^4) > 0\) ------>

\((+)(+ term) > 0\) (result is positive)

If x must be positive and y must be negative,

x > yAnswer A

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