Chapter 3.5, Problem 1LC

To determine

To write the set $G$ of odd natural numbers that are less than $18$ roster and set builder form .

Answer to Problem 1LC

  $G=\left\{x:x\text{is}\text{an}\text{odd}\text{natural}\text{number}\text{less}\text{than}18\right\}$ or $G=\left\{1,3,5,7,9,11,13,15,17\right\}$ .

Explanation of Solution

Given information :

Given set $G$ of odd natural numbers that are less than $18$ .

A set can represented by two types i. Roster form ii. Set builder form

In roster form, list all elements of the set and separated by commas and then enclosed by flower bracket.

Thus, $G=\left\{1,3,5,7,9,11,13,15,17\right\}$

In Set Builder for, identify the common property that satisfied by all elements of the given set.

Thus, $G=\left\{x:x\text{is}\text{an}\text{odd}\text{natural}\text{number}\text{less}\text{than}18\right\}$

Hence, $G=\left\{x:x\text{is}\text{an}\text{odd}\text{natural}\text{number}\text{less}\text{than}18\right\}$ or $G=\left\{1,3,5,7,9,11,13,15,17\right\}$