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# If xy ≠ 0, is x/y > 2x/y ? (1) y is positive. (2) xy is positive.

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Re: If xy ≠ 0, is x/y > 2x/y ? (1) y is positive. (2) xy is positive. [#permalink]
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Ask: $$\frac{x}{y} >\frac{2x}{y}$$

(1) y is positive.

Don't know any information about x. Can be positive or negative will have impact to the ask.

NOT SUFFICIENT

(2) xy is positive.

Either both x and y should be positive or both x and y should be negative. This will have no impact to the ask as the variables will have the same sign.

Alternatively, plug in numbers for both x and y (same sign for both x and y)

x=1 y=2 [both positive]
$$\frac{1}{2}>\frac{2}{2}$$ - False

x=-1 y=-2 [both negative]
$$\frac{-1}{-2} >2\frac{-1}{-2}$$

$$\frac{1}{2}>\frac{2}{2}$$ - False

SUFFICIENT

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Re: If xy ≠ 0, is x/y > 2x/y ? (1) y is positive. (2) xy is positive. [#permalink]
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Re: If xy ≠ 0, is x/y > 2x/y ? (1) y is positive. (2) xy is positive. [#permalink]
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