Hi,
Try to arrange it to:
[tex]\frac{A}{B} <= 0[/tex]
Or
[tex]\frac{A}{B} >= 0[/tex]
Where [itex]A = a_{1} \times a_{2} \times a_{3} \times ... \times a_{n}[/itex]
and [itex]B = b_{1} \times b_{2} \times b_{3} \times ... \times b_{k}[/itex]
Then just simply solve the inequation by drawing a chart to see if each element is positive or negative or zero. And finally, see if [tex]\frac{A}{B}[/tex] is positive or negative or zero in each case.
Hope this help,
Viet Dao,
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