Question

Explain set theory to me and the shading, please.

Answer 1

Shading, as in the venn diagrams?

Answer 2

yes

Answer 3

The primes confuse me and the complicated ones

Answer 4

@Shadow

Answer 5

The primes like \(X'\) means the elements that are not in set \(X\)

Answer 6

You have to work your way from the inside out. First find \(Z \cup X'\)

Answer 7

Better yet, here's what you do:
First list the elements of \(Z\) then list the elements of \(X'\). The combination all the elements together with no repeats is \(Z \cup X'\)

Answer 8

@kaylak

Answer 9

okay so f,h,k,o,s,b,f,

Answer 10

now apply y

Answer 11

what does the extra prime mean?

Answer 12

I'll explain what it means.

Answer 13

Hang on for a minute.

Answer 14

But first, can you explain the set you just posted? What does it represent?

Answer 15

z and everything that is not in x

Answer 16

crap b h o is in x

Answer 17

f k s

Answer 18

Sorry let me correct an error I made earlier. I clearly confused you. This is the correct information. I typed too fast the first time.

I suppose it would help to know that \(Z' = U - Z\) meaning the elements of the universal set minus the elements of \(Z\)

Answer 19

b u

Answer 20

Actually, that is correct but it is \(Z \cup X'\) is what we need to find. Maybe I didn't make a mistake afterall. we need the elements of Z plus the elements of the universal set that are not in \(X\)

Answer 21

f k s

Answer 22

Let me check that real quick

Answer 23

it disappeared

Answer 24

That was nothing

Answer 25

I don't get why its doing that. I not even posting that

Answer 26

Actually, I think you had it

Answer 27

One second.

Answer 28

\(\displaystyle \begin{array}{{>{\displaystyle}l}}
( Z\ \cup \ X') \ =\ \{f,\ k,\ o,\ s\} \ +\ \{b,\ f,\ h,\ k,\ o,\ s,\ u\} \ -\ \{b,\ h,\ o,\ u\}\\
=\{f,k,\ o,\ s\} \ +\ \{f,\ k,\ s\}\\
=\{f,k,o,\ s\}\\
\end{array}\)

Answer 29

That's what it is exactly

Answer 30

Now, the extra prime means the elements of the universal set that are not \(\{f,k,o,s\}\)

Answer 31

@kaylak are you still there?