possible values of x ?

[crackgmat007]

OA - C

[tohellandback]

x^2-2<0
X^2<2

-sqrt(2)<X<sqrt(2)

[pandeyvineet24]

C should be. for any x greater than sqrt(2) and any x less than (-sqrt(2)) the equation will hold good.

[crackgmat007]

x^2-2<0
X^2<2

-sqrt(2)<X<sqrt(2)

Squaring on both sides of inequality, I got X<sqrt(2). I am not clear about -sqrt(2)<X. Can someone explain this pls?

[tom4lax]

When you take the sq root of a squared variable, you need to take into account that the answer could be positive or negative, so take the absolute value:

x^2 < 2
abs(x) < sqrt2

x < sqrt 2 and -x < sqrt 2 or x > -sqrt2

ans. is C