Answer:
See explanation
Step-by-step explanation:
Definition: [tex]S\times T=\{(s,t)|s\in S,\ t\in T\}[/tex]
Given: [tex]S=\{4,6,8\},\ T=\{3,5,7\}[/tex]
1. Find [tex]S\times T:[/tex]
[tex]S\times T=\{(4,3),(4,5),(4,7),(6,3),(6,5),(6,7),(8,3),(8,5),(8,7)\}[/tex]
There are 9 elements.
2. Find [tex]T\times S:[/tex]
[tex]T\times S=\{(3,4),(3,6),(3,8),(5,4),(5,6),(5,8),(7,4),(7,6),(7,8)\}[/tex]
There are 9 elements.
3. Find [tex]S\times S:[/tex]
[tex]S\times S=\{(4,4),(4,6),(4,8),(6,4),(6,6),(6,8),(8,4),(8,6),(8,8)\}[/tex]
There are 9 elements.
4. Find [tex]T\times T:[/tex]
[tex]T\times T=\{(3,3),(3,5),(3,7),(5,3),(5,5),(5,7),(7,3),(7,5),(7,7)\}[/tex]
There are 9 elements.
