1. The problem statement, all variables and given/known data Which of following statements are TRUE or FALSE. Why? In any group G with identity element e a) for any x in G, if x2 = e then x = e. b) for any x in G, if x2 = x then x = e. c) for any x in G there exists y in G such that x = y2. d) for any x, y in G there exists z in G such that y = xz. 2. Relevant equations 3. The attempt at a solution for a) False b) True What reason i have to give for these answers?