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If x2y3<0, which of the following must be true? Indicate all such ans
[#permalink]
22 Sep 2021, 05:27

Expert Reply

Question Stats:

If \(x^2y^3<0\), which of the following must be true?

Indicate all such answers.

A. \(x>0\)

B. \(xy<0\)

C. \(x^2y<0\)

D. \(xy^2>0\)

E. \(x^2>0\)

F. \(y^2>0\)

G. \(xy≠0\)

Indicate all such answers.

A. \(x>0\)

B. \(xy<0\)

C. \(x^2y<0\)

D. \(xy^2>0\)

E. \(x^2>0\)

F. \(y^2>0\)

G. \(xy≠0\)

ShowHide Answer

Official Answer

C,E,F,G

Re: If x2y3<0, which of the following must be true? Indicate all such ans
[#permalink]
22 Sep 2021, 06:54

1

Carcass wrote:

If \(x^2y^3<0\), which of the following must be true?

Indicate all such answers.

A. \(x>0\)

B. \(xy<0\)

C. \(x^2y<0\)

D. \(xy^2>0\)

E. \(x^2>0\)

F. \(y^2>0\)

G. \(xy≠0\)

Indicate all such answers.

A. \(x>0\)

B. \(xy<0\)

C. \(x^2y<0\)

D. \(xy^2>0\)

E. \(x^2>0\)

F. \(y^2>0\)

G. \(xy≠0\)

Given \(x^2y^3<0\), so neither of them is = 0, so G is one of the choice.

since x is squared, sign of x does not matter and y is cubed and still < 0 so y has to be negative.

Among the choices,

A. \(x>0\) - sign of x does not matter - No

B. \(xy<0\) - sign of x does not matter - No

C. \(x^2y<0\) - y is negative - True

D. \(xy^2>0\) - sign of x does not matter - No

E. \(x^2>0\) - sign of x does not matter, so \(x^2\) is always positive - True

F. \(y^2>0\) - \(y^2\) is always positive - True

G. \(xy≠0\) - Neither can't be = 0 - True

gmatclubot

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