Intro to Advanced Math
29 April 2014
An Introduction to Proof Writing
Intro to advanced math is an introductory course into proof writing. This classes teaches
the basic skills needed to understand how to prove mathe
1.11.1: Give counterexamples of the proposed statement
1. If a real number is greater than 5, then it is less than 10.
False, the real number 12 is greater than 5 but it is not less than 10.
2. If is a real number, .
False, if , then which does not equal
2. Consider the following relation on
is reflexive because every element in is related to itself.
is not reflexive because every element in is not related to itself.