Answer:
{[tex]z|z<-\frac{1}{2}[/tex]}U{[tex]z|z>\frac{1}{2}[/tex]}
Step-by-step explanation:
Given the inequality [tex]|z| > \frac{1}{2}[/tex] you need to set up two posibilities:
FIRST POSIBILITY : [tex]z>\frac{1}{2}[/tex]
SECOND POSIBILTY: [tex]z<-\frac{1}{2}[/tex]
Therefore, you got that:
[tex]z<-\frac{1}{2}\ or\ z>\frac{1}{2}[/tex]
Knowing this, you can write the solution obtained in Set notation. This is:
Solution: {[tex]z|z<-\frac{1}{2}[/tex]}U{[tex]z|z>\frac{1}{2}[/tex]}
