If a < 0, c > 0, and b > 5, which of the following is true?
I. a * b * c > 0
II. a * b * (-c) < 0
III. a^2 * b * c > 0 Choose the most appropriate option:
A) I only  B) II only  C) III only  D) I and III only  E) I, II, and III
I. Not true, example: a = -1, b = 6, and c = 1, so a * b * c= -6   II. Not true, a and (-c) are both negative and b is positive so the product will be positive   III. True, a^2 is positive and so are b and c so the product is positive   III only
<result>C</result>
If a < 0, c > 0, and b > 5, which of the following is true?
I. a * b * c > 0
II. a * b * (-c) < 0
III. a^2 * b * c > 0