If "a" is a negative integer and "b" is a positive integer, which of the following statements must be true? I. b + a > 0 II. (b-a)/(a) < 0 III. a^b <…

Question

If "a" is a negative integer and "b" is a positive integer, which of the following statements must be true?

I. b + a > 0
II.
`(b-a)/(a)` < 0
III. a^b < 0

A) I only
B) II only
C) III only
D) I and II only

Answer 1

The answer is B because it is a negative fraction and negative numbers are indeed below zero

Answer 2

B

Explanation:

I. Falae. Consider a = -3 and b = 2.

II. True. b-a must be positive, and a is negative.

III. False. Over the reals, exponential functions are positive.