The correct answer is E.

Here is the explanation.

Statement 1:

x^2-1 = x +1

x^2-1-x-1 = 0

x^2-x-2 = 0

(x-2) (x+1) = 0

Here x is either 2 or -1. Not sufficient.

Statement 3: X+3 is prime number. X xould be any number like 2,4,8...etc. So Not sufficient.

Together: If we consider statement 1 and 2 togather.

x=2 , X+3 = 5 is prime -- True

x=-1, x+3 = -1+3 = 2 is prime --True.

Again we get two solutions for x (2 or -1). Which is insuffient to find x.

So the answer is E.

hope this helps.

_________________

+1Kudos, if this helps