# Math Help - Compare-numbers

1. ## Compare-numbers

x real number
compare this numbers :

2. Consider different cases:

Case 1: If $x>1$, (eg: 3)
$x^3>x^2>x$

Case 2: If $x=1$,
$x^3=x^2=x$

Case 3: If $0, (eg: 0.5)
$x>x^2>x^3$

Case 4: If $x=0$,
$x^3=x^2=x$

Case 5: If $-1, (eg: -0.5)
$x^2>x^3>x$

Case 6: If $x=-1$,
$x^2>x^3=x$

Case 7: If $x<-1$, (eg: -3)
$x^2>x>x^3$

3. Hello : - What is the methodology used to compare the two numbers?
Thanks

4. Originally Posted by dhiab
Hello : - What is the methodology used to compare the two numbers?
Thanks
I edited my previous post. Now does it make sense?

5. Originally Posted by alexmahone
I edited my previous post. Now does it make sense?
Hello : Thank you
that is they are every time to make to study the sign of difference between this nombers two
graphically :

6. Originally Posted by dhiab
Hello : Thank you
that is they are every time to make to study the sign of difference between this nombers two
graphically :
Yes.

It is easier to compare graphically.