If x/||x||< x , which of the following must be true about x , (x is not 0)
(A)|x|=1
(B)|x|<1
(C)x>2
(D)x>-1
(A)|x|=1
(B)|x|<1
(C)x>2
(D)x>-1
If x is positive, x/||x|| < x ----> x/x < x ----> x > 1MBA.Aspirant wrote:If x/||x||< x , which of the following must be true about x , (x is not 0)
(A)|x|=1
(B)|x|<1
(C)x>2
(D)x>-1
If x is negative, x/||x|| < x ----> x/(-x) < x ----> x > -1
Thus we see that if x satisfies the given condition then x > 1 if x is positive and x > -1 if x is negative. In any of the cases x is greater than -1.
The correct answer is D.
