Which statement among the following is correct?

The correct answer is option 1.

Calculation:

⇒ If x < 0, then x² > x

Let's put x = -2, then (-2)² > (-2) ; 4 >  (-2)

So, the above condition is true.

⇒ If x² > 0, then x > 0

Let's put x = -1, (-1)² > 0 but (-1) < 0 

So, the above condition is not true.

⇒ If x² > x, then x < 0

For the negative value of x, the given condition is true.

But for the positive value, the given condition is not true.

So, the above condition is not always true. 

⇒ If x² > x, then x > 0

For the negative value of x, the given condition is not true.

But for the positive value, the given condition is true.

So, the above condition is not always true. 

Hence, If x < 0, then x² > x is always true.