Consider 'em!
Algebra
Level
2
Statement 1: The square of a number is always greater than the original number
Statement 2: The cube of a real negative number is always negative
Both Statements are correct!
Only Statement 1 is correct!
Only Statement 2 is correct!
Both Statements are false!
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
For Statement 1, x 2 > x is false for x ∈ [ 0 , 1 ] . Statement 2 is true for all x < 0 since ( − x ) 3 = ( − 1 ) 3 ⋅ x 3 = − x 3 .