Solve |z| > (1/2) {-1/2, 1/2} (-1/2) < z < (1/2) z

Question

Solve |z| > (1/2)

{-1/2, 1/2}
z
z < (-1/2) ∪ z > (1/2)

Answer 1

z

Explanation:

I got it right. I would explain if I were better at making sense lol

Answer 2

{
`z|z<-(1)/(2)`}U{
`z|z>(1)/(2)`}

Explanation:

Given the inequality
`|z| > (1)/(2)` you need to set up two posibilities:

FIRST POSIBILITY :
`z>(1)/(2)`

SECOND POSIBILTY:
`z<-(1)/(2)`

Therefore, you got that:

`z<-(1)/(2)\ or\ z>(1)/(2)`

Knowing this, you can write the solution obtained in Set notation. This is:

Solution: {
`z|z<-(1)/(2)`}U{
`z|z>(1)/(2)`}