Is X^2 greater than X ?

[California4jx]

Is X^2 greater than X ?

(1) x^2 is greater than 1
(2) x is greater than -1

I need help understanding the part 1. if x^2 > 1 then i know that x > 1 or x > -1 but how come x could be x < -1 ??

thanks. OA later.

[shashank.mehra]

Is X^2 greater than X ?

(1) x^2 is greater than 1
(2) x is greater than -1

I need help understanding the part 1. if x^2 > 1 then i know that x > 1 or x > -1 but how come x could be x < -1 ??

thanks. OA later.

IMO A.

Statement 1) x<-1 or x>1. Therefore in both the cases X ^ 2 > X

Statement 2) -1<x, therefore x can be a -ve or a positive fraction and hence can be greater or less than x ^2 respectively. So no answer

Therefore A.

[hk]

I will go with A.

1. Says that x cannot be a fraction, 0, 1, -1. For all other values of x, x^2 is greater than x. - sufficient.
2. x>-1, here x can be, say, 1 in which case x^2 = x or x can be 10 in which case x^2 is greater than x - Insufficient.

[mehravikas]

IMO - A

[electrico]

I need help understanding the part 1. if x^2 > 1 then i know that x > 1 or x > -1 but how come x could be x < -1 ??

Here you are wrong deducting x>-1. when x > -1 => x = - 0.9, - 0.5, 4, 5, 100.....which is wrong.

the correct deduction is when x^2 > 1 => x> 1or x < - 1. and for the both case, x^2 > x. Hence A.

Thanks.