yeah u r right..
X > 1/X
for positive values of X
X^2>1
i.e.X>1

for negative values

X^2<1
i.e -1<X<0

tohellandback wrote:yeah u r right..
for negative values
X^2<1
i.e -1<X<0

Can you please explain step by step arriving at the answer... That would be more helful.

crejoc wrote:

tohellandback wrote:yeah u r right..
for negative values
X^2<1
i.e -1<X<0

Can you please explain step by step arriving at the answer... That would be more helful.

In an equality, when you multiply both sides with a positive value, the inequality sign remains unchanged.
but when you multiple both sides with a negative value, the inequality sign changes.
ex. 2<3, multiple both sides with 3
6<9, no change to the inequality "<"

now multiple both sides with '-3'
-6>-9, the inequality operator changed

so X > 1/X
if X>0
X^2>1. this is possible only for values X>1

when X is negative,
X>1/X
X^2<1, inequality changed

for negative values, this is pissible only when 0>X>-1