Name
Exam 2 Answer Key
MATH 2300
This exam consists of 7 questions, each worth 6 points, for a total of 42 points. All work
must be shown. Answers without proper justication will be given little or no credit. Unless
stated otherwise, all answers must be e
MATH 2300 Homework 7 Answer Key
Due Thursday, November 12
Homework must be turned in by the beginning of class on the day it is due. All work must be shown.
Answers without proper justication will be given little or no credit. All answers must be exact an
MATH 2300 Homework 8 Answer Key
Due Thursday, November 19
Homework must be turned in by the beginning of class on the day it is due. All work must be shown.
Answers without proper justication will be given little or no credit. All answers must be exact an
Section 7.3: Equivalence Classes
Dr. Pragel (GGC)
Foundations of Mathematics
Section 7.3
1 / 9
Equivalence Classes
Let be an equivalence relation on a nonempty set A. For each a 2 A,
the equivalence class of a determined by is the subset of A, denoted
by
1
Daniel Husu
Discrete Math
9/26/14
Chapter 2 Homework
Answers denoted with ( )
Page 125-126
1. List the members of these sets.
a) cfw_x | x is a real number such that x2 = 1 (cfw_-1, 1)
c) cfw_x | x is the square of an integer and x < 100 (cfw_0, 1, 4, 9
A statement (or proposition) is a sentence that is true or false nut not both. Given a statement p, the sentence ~p is read not p is read not
p or It is not the case that p and is called the negation of p. It has opposite truth value from p: if p is true,
Section 7.2: Equivalence Relations
Dr. Pragel (GGC)
Foundations of Mathematics
Section 7.2
1 / 8
Equivalence Relations
Let A be a nonempty set and let R be a relation on A.
The relation R is reflexive on A provided that for each x 2 A,
(x, x) 2 R.
The rel
Section 7.1: Relations
Dr. Pragel (GGC)
Foundations of Mathematics
Section 7.1
1 / 6
Relations
Let A and B be sets. A relation R from A to B is a subset of A B.
We will also use the notation xRy or x y to mean (x, y) 2 R. If
A = B, we refer to such a rela
Name
Exam 3 Answer Key
MATH 2300
This exam consists of 7 questions, each worth 6 points, for a total of 42 points. All work
should be shown. Answers without proper justication may be given little or no credit.
Unless stated otherwise, all answers must be