SOLUTION: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false? The cube root of a negative number is larger than the number

Algebra ->  Geometry-proofs -> SOLUTION: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false? The cube root of a negative number is larger than the number      Log On


   

Question 1133810: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false?
The cube root of a negative number is larger than the number.
A. ∛-27=-3, but ∛1=-1.
B. ∛27=-3, but ∛-1=-1.
C. ∛27=3, but ∛-1=1
D. ∛-27=-3, but ∛-1=-1
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Answer choices A, B, and C are all false, so they can't be the answer. The only possible right answer is D.

And D does what it needs to -- it supports the conjecture with the example that the cube root of -27 is -3 (-3 IS larger than -27), and it provides a counterexample by showing the cube root of -1 is -1 (-1 is NOT larger than -1).