Let (G, ◊) be a group and x ∈ G. Suppose His a subgroup of G that contains x. Which of the following must H also contain? [5 marks]

x*, the inverse of x
The identity element e of G
All elements x ◊ y for y ∈ G
All "powers" x ◊ x, x ◊ x ◊ x, ...