Math Principle Homework any takers?

Math 123 –Mathematical Principles I Fall 2019

PROJECT 3AB Part A:

Let R be the relation on S ≔ {1, 2, 3, 4, 5, 6, 7, 8} given by: R ≔ {(1, 1), (1, 3), (1, 5), (2, 2), (2, 6), (3, 1), (3, 3), (3, 5), (4, 4),

(4, 8), (5, 1), (5, 3), (5, 5), (6, 2), (6, 6), (7, 7), (8, 4), (8, 8)} (1) Create the directed graph of R. (2) Show that R is an equivalence relation on R by showing it satisfies all three required

properties. (3) Find the quotient set S / R.

Part B: Please write a brief reflective piece on the following question:

Many students ask the question “Why do we need to know this?” when it comes to mathematics.

 What sort of answers have you received when you (or someone else) have inquired as to why mathematics is in a certain program or why a certain topic is covered?

 What do you think of the answers you’ve heard? Did it truly explain why? Was the answer convincing? If so, why? Do you think there may have been a better answer?