c) For each of the following statements about regular expressions , and languages A,B, state whether they are true or false. Provide a one-sentence justification for each answer. i. lang (())=lang(()). ii. lang (())=lang(). iii. lang (())=lang(()()). iv. lang (()()()())=lang(()+). v. If A is regular, then AR (the language formed by reversing every string in A ) is also regular. vi. if A is regular, then {xy:xA,y/A} is regular. vii. If A is regular and B is non-regular, then AB is non-regular. viii. If A is regular and B is non-regular, then AB is non-regular. ix. If A and B are both non-regular, then AB is non-regular. x. If A is non-regular, then A is non-regular