## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 82: 97

#### Answer

$A=\{x | x \text { is an odd natural number and } x<9\}$ according to the above statement set $A=\{1,3,5,7\}$ $B=\{x | x \text { is an even natural number and } x<9\}$ according to the above statement set $B=\{2,4,6,8\}$ The set $A \cup B$ is a set of all elements in $A\ and\ B$ $\therefore$ $A \cup B=\{1,2,3,4,5,6,7,8\}$ or $U$

#### Work Step by Step

$A=\{x | x \text { is an odd natural number and } x<9\}$ according to the above statement set $A=\{1,3,5,7\}$ $B=\{x | x \text { is an even natural number and } x<9\}$ according to the above statement set $B=\{2,4,6,8\}$ The set $A \cup B$ is a set of all elements in $A\ and\ B$ $\therefore$ $A \cup B=\{1,2,3,4,5,6,7,8\}$ or $U$

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