tavishg wrote:
Hi
CarcassHow do I prove C and D wrong?
That's is a very good question.
I think you are thinking to pick up numbers and test the answer choices. Working on them which is true and which is not. I understood what you mean. However, the best way is to manipulate the stem and thinking logically
Now, \((x – y)^3 > (x – y)^2\)
the LHS is positive because squared
So we can divide both for the LHS and we will end up with
x-y>1
x > 1+y
So x is > of y (some number) +1
So x>y and ONLY x^3>y^3
The other options such as D could not be true or yes
Proving C and D are wrong is too cumbersome in a classic way
I hope I satisfied your question