Chapter 3.5, Problem 3P

Write each set in roster form and in set-builder notation.

$P$ is the set of natural numbers that are factors of 25.

To determine

To write: the set of natural number that are factors of 25 in roaster and set-builder notation.

Answer to Problem 3P

The set in roaster and set-builder notation are $\left\{P:x\text{}\text{is}\text{natural number}=25x\right\}$ and $\left\{25,50,\mathrm{75......}\right\}$ respectively.

Explanation of Solution

Given:

P is a set of natural number that is factors of 25

Calculation:

The set in the set-builder form is written as follows:

P is a natural number means numbers that is not fraction and 1 to infinity. Take factor of 25 in set-builder form as shown below:

  $\left\{P:x\text{}\text{is}\text{natural number}=25x\right\}$

In roaster form write all the natural numbers factor of 25 to infinity in curly braces.

The set in the roaster form is written as follows:

  $\left\{25,50,\mathrm{75......}\right\}$