Question 304755: if m and n are both negative numbers , m is less than -1 and n is greater than –1, which of the following gives all possible values of the product mn ?
a all negative numbers
b all negative numbers less than -1
c all negative numbers greater than –1
d all positive numbers
e all positive numbers less than 1
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! I would say selection d (all positive numbers.
A minus times a minus will always give you a plus, so the answer has to be positive.
The selections for positive numbers are:
selection d and selection e.
I can't think of a situation where the result would not be positive, so selection d is good.
The only other possible answer would have to be selection e, and only if that answer gives a more accurate representation of the answer.
Selection e says all positive numbers less than 1.
That can be violated very easily.
If we let m be equal to -100 which is less than -1, and we let n = -.5 which is greater than -1, then the result would be equal to:
-100 * -.5 which would equal 50 which is greater than 1.
Selection e is not valid for all values of m or n so selection d has to be the answer.
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