Chapter 4.1B, Problem 9A

Classify each of the following statements as true or false, assuming that a, b, and c are whole numbers.

a. $3\cancel{|}50$ and $3|30$ imply $3\cancel{|}\left(50+30\right)$.

b. $3\cancel{|}50$ and $3|30$ imply $3\begin{array}{c}\cancel{|}\end{array}\left(50\cdot 30\right)$.

c. $3|\left(a+b\right)$ and $3\begin{array}{c}\cancel{|}\end{array}c$ imply $3\begin{array}{c}\cancel{|}\end{array}\left(a+b+c\right)$.

d. $3|b$ imply $3{|b}^2$.