Chapter 3.5, Problem 4P

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

$R$ is the set of odd natural numbers that are less than 12.

To determine

To write: the set of odd numbers that are less than 12 in roaster and set-builder notation.

Answer to Problem 4P

The set in roaster and set-builder notation are $\left\{R:R\text{}\text{is}\text{odd numbers}<12\right\}$ and $\left\{\mathrm{...}-1,1,3,5,7,9,11\right\}$ respectively.

Explanation of Solution

Given:

R is a set of odd numbers that are less than 12.

Calculation:

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

R is odd numbers means numbers that is not even. Convert less than condition to less than sign in set-builder form as shown below:

  $\left\{R:R\text{}\text{is}\text{odd numbers}<12\right\}$

In roaster form write all the odd numbers less than 12 in curly braces.

The set in the roaster form is written as follows:

  $\left\{\mathrm{...}-1,1,3,5,7,9,11\right\}$