Please help me solve using easy logic and examples. except for part (i) which i have already done.

Let S = {ab, bb} and let T = {ab, bb, bbb}. (i) Show that S* 4: T*, but that S* C T*. (ii) Prove in general that if S C T then S* C T*. Find examples of S and T for which: (iii) S C T but S 4- T and yet S* = T*. (iv) S* = T* but S t T and T T S. The symbol "T" means "is not contained in or equal to." (v) How does the situation in This Problem change if we replace the operator * with the operator + as defined in this chapter? Note the language S' means the same as S* but does not allow the "concatenation of no words"