Chapter 4.3, Problem 6E

To determine

To write: The given statement using the congruency symbol.

Answer to Problem 6E

The given statement using the congruency symbol can be written as

  $17\equiv 2\left(\mathrm{mod}\text{ 5}\right)$ .

Explanation of Solution

Given:

The following statement:

  $17$ is congruent to $2\left(\mathrm{mod}\text{ 5}\right)$ .

The following congruency symbol:

  $\equiv$

The given statement can be written using the congruency symbol by replacing the words ‘is congruent to’ with the congruency symbol as follows:

  $17\equiv 2\left(\mathrm{mod}\text{ 5}\right)$