SOLUTION: If a^2b^3c > 0, which of the following statements must be true? I. bc > 0 II. ac > 0 III. ab > 0

Algebra ->  Inequalities -> SOLUTION: If a^2b^3c > 0, which of the following statements must be true? I. bc > 0 II. ac > 0 III. ab > 0       Log On


   

Question 309042: If a^2b^3c > 0, which of the following statements must be true?
I. bc > 0
II. ac > 0
III. ab > 0

Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: a%5E2 is certainly positive for all a%3C%3E0. So divide both sides by a%5E2 to get b%5E3%2Ac%3E0.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 > 0 since it's an even exponent.
If b^3c > 0, then bc is also > 0 since b^2 > 0
--> I bc > 0