Math 199 (Assignments)

[Not to be turned in, but we will discuss in class]

1. Consider the statement "if $2\le x \le 4$ then $|x-3|\le 1$". Give a statement that is each of the following:
   1. The converse of the statement
   2. The contrapositive of the statement
   3. The inverse of the statement
   4. The negation of the statement
2. Write the following using the symbols of propositional logic, and determine if the statement is true or false. Explain your conclusion.
   1. $\displaystyle x \cdot {1\over x} = 1$ for all real $x$.
   2. $\displaystyle 1 < {2\over x}$ whenever $x < 2$.

Math 199 (Fall 2019) web pages Created: 23 Sep 2019 Last modified: 23 Sep 2019 at 5:10 PM Comments to: dpvc@union.edu

Assignments