Data Sufficiency (DS) | If the product of j and k does not equal zero, is j0?

If the product of j and k does not equal zero, is j<0 and k>0?

(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.

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