number 1 , 2 and 3 are true :

1. False because if x=-1 so 1 < 1 isn't true for x negative
2. True because x squared will always be positive and x cubed negative thus x^3 < x^2 is true for x negative
3. True x + 1/x is always negative ex : -1 + 1/-1 = -2 <0 so x + 1/x < 0 is true for x negative
4. True , if x = -4 thus -4 = 4 or -4 = -4 (because square roots have 2 solutions one negative and one positive) the second solution is true true , and 4. is true for all values of x