1. Write the result of the following set operation as a regular set. Explain your answer. ({a}{b}) ({b}{a}) Note: The set operation above contains the intersection operator (). However, intersection is not a regular set operator. You need to determine the strings that are in the intersection and write the pattern of these strings as a regular set.

2. Consider the language L and regular set S below. L = {w | w {a, b}and length of w is odd.} S = ({a, b} {a, b} {a, b}) Is (L = S) true or false? Explain your answer.

3. Consider the language L and regular set S below. L = {w | w {a, b}and length of w is odd.} S = {a, b} { aa, ab, ba, bb } Is (L = S) true or false? Explain your answer.