Sections 2.1 and 2.2, due August 31

1. I am still a little confused by the way this book defines a ring. What does "a set with two binary operations mean" mean? In the lecture you kept saying the in the set up of the definition the closure property was included, so there were only 6 axioms. Is that what these binary operations relate to? How so?

2. This was a lot of review from abstract algebra, so it seems like this class will connect a lot with abstract algebra. I also liked that this even related to stuff we learned in high school. For example of x