1) Examine the following formal descriptions of sets so that you understand which members they contain. Write a short informal English description of each set. a. {1,3,5,7,} b. {,4,2,0,2,4,} c. {nn=2m for some m in N} d. {nn=2m for some m in N, and n=3k for some k in N} e. {ww is a string of 0 s and 1s and w equals the reverse of w} f. {nn is an integer and n=n+1} 2) Write formal descriptions of the following sets a. The set containing the numbers 1,10 , and 100 b. The set containing all integers that are greater than 5 c. The set containing all natural numbers that are less than 5 d. The set containing the string aba e. The set containing the empty string f. The set containing nothing at all 3) The following are the state diagrams of two DFAs, M1 and M2. Answer the following questions about each of these machines: a. What is the start state? b. What is the set of accept states? c. What sequence of states does the machine go through on input aabb? d. Does the machine accept the string aabb? e. Does the machine accept the string