Hang Tuah wrote:
S is a finite set of numbers. Does S contain more negative numbers than positive numbers?
(1) The product of all the numbers in S is -1,200
(2) There are 6 numbers in S
Starting with the easier statement first:
there are 6 #'s in set S: Well all these numbers could be positive or all negative, etc... no help here.
The product is -1200. Well the prime factorization of -1200 is:
2,2,2,2,3,5,5. so it could be just one negative or all negative since an odd number of negatives multiplied by eachother yields a negative #. So insuff.
S1 and S2: so 6 numbers and product of these six numbers is -1200.
ok so change the prime factorization to : 4,2,2,3,5,5. We can see here that again there could be 5 negatives or 1 negative b/c this will still yeild -1200.
Ans is E.