Assign a grade of A (correct), C (partially correct), or F (failure) to each. Justifyassignments of grades other than A. (a) Claim. If H and K are subgroups of a group G, then is a subgroupof G.Proof. Let Then and Since H andK are subgroups, and Therefore, (b) Claim. If H is a subgroup of a group G and thenis a subgroup of G.Proof. First, the identity Thus, Therefore,Second, let Then and for someThen we haveTherefore, xH is a subgroup of G.

**NOTE: This is not a comprehensive, wordforword script. It is an outline of all the important points to cover for each slide. S l i d Things to Cover # Jenna 1 JMU . Give a few minutes for stragglers to join. 2 I attend JMU There are lots of notetakers from all over the country. 3 This is what we will be covering The problem our founders noticed was profs giving long lectures and ambiguous about what would be on the tests. Textbooks are really expensive 4 and enormous. Affordable and efficient solution 5 The solution was to find the top students in each class to be Elite Notetakers who can define and sp