(c) Let A be the alphabet {a,b}. For each of the following statements, state whether they are true or false. Each correct answer gives 1 mark, each wrong answer gets -1 mark, omitted answers get O marks. Overall marks are capped from below to 0. [10 marks] i. The empty string is in the language of aaa(ab)* over A. ii. The string aa is in the language of aaa(a|b)* over A. ii. The string aaabbbbbbbbbbbbbbbbbbb is in the language of aaa(alb)* over A. iv. The string aabbbbbbbbbbbbbbbbbbb is in the language of aaa(a|b)* over A. v. The string bbaaaaaaaaaaaaaaaaaaa is in the language of aaa(alb)* over A