SOLUTION: In which of the following does the original value decrease? I. The square of a fraction between -1 and 0 II. The square of a negative integer III. The cube of a negative integer

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: In which of the following does the original value decrease? I. The square of a fraction between -1 and 0 II. The square of a negative integer III. The cube of a negative integer      Log On


   

Question 896663: In which of the following does the original value decrease?
I. The square of a fraction between -1 and 0
II. The square of a negative integer
III. The cube of a negative integer less than -1
a.)I only b.)II only c.)III only d.)I,II & III only
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
I. fraction < 0, squaring it makes it positive --> not true

II. square of negative integer = positive, so this isn't true

III. x < -1, x^3 becomes even greater in magnitude ---> true

Only III is true.