Statement 1 : it shows that x is non negative, it can be 0 or any positive number.

Statement 2: it shows that x is non negative, it can be 0 or any positive number.

Statement 1 & 2 : it shows that x is non negative, it can be 0 or any positive number.

chetan2u wrote:

Is x positive?

(1) \(x*|x|=x^2\)

(2) \(x^2*|x|=x^3\)

Self made

Very important to NOT miss out all possible values of x- integer, fraction, positive , negative ,0 etc

70% gone wrong means we tend to OVERLOOK 0 as a value..

(1) \(x*|x|=x^2\)

x is surely non-negative BUT it can be 0 or positive

Insuff

(2) \(x^2*|x|=x^3\)

again x can be positive or 0

insuff

combined x can still be o, ans will be NO

x can be positive, ans will be YES

insuff

E