Chapter 4.3, Problem 7E

To determine

To write: The given statement using the divisibility symbol.

Answer to Problem 7E

The given statement using the divisibility symbol can be written as

  $5|\left(19-4\right)$ .

Explanation of Solution

Given:

The following statement:

  $19\equiv 4\left(\mathrm{mod}\text{ 5}\right)$ .

The following divisibility symbol:

  $|$

  $a$ is congruent to $b\left(\mathrm{mod}n\right)$ if $n$ divides the difference $a-b$ .

The given statement can be written using the divisibility symbol as follows:

  $5|\left(19-4\right)$