Question

Given A=[1,2,3} B= {3,4,5,6} and C= {3,5,7} Evaluate each set
a. A∩B
b. AUC
c. B U C
d. (A U B) ∩ C
e. A U (B U C)
f. (A ∩ B) ∩ C
g. (A ∩ B) U C

Help~

Answer 1

Did you try these at all? What is giving you trouble?

Answer 2

I dont understand any of it...

Answer 3

\[A \cap B = \{ e | (e \in A) \wedge (e \in B) \} \]

Answer 4

Basically \(A \cap B \) means to make a set from all the elements that A and B have in common.

Answer 5

ok

Answer 6

\[A\cup C\]
Means make a set from all the elements that are in either A or C or both.

Answer 7

So what is \[A \cap B\] ?

Answer 8

a ∩ b {3}

Answer 9

Yep.

Answer 10

And now \(A\cup C\)

Answer 11

a u c {3}

Answer 12

Nope.

Answer 13

Remember you want any element in A or C or both.

Answer 14

{1,2,3,5,7]

Answer 15

Yep

Answer 16

\[B\cup C\]

Answer 17

3,4,5,6,7}

Answer 18

Yep

Answer 19

(A U B) ∩ C

Answer 20

(start with the set inside the parens first)

Answer 21

{1,2,3,4,5,6}

Answer 22

Ok now take the intersection of that set with C.

\[\{1,2,3,4,5,6\} \cap C\]

Answer 23

only the ones that C has in common with right?

Answer 24

Yes

Answer 25

{3,5}

Answer 26

yep.

Answer 27

so it would be {1,2,3,4,5,6} ∩ {3,5} for the answer

Answer 28

No

Answer 29

Just {3,5}

Answer 30

\[(A\cup B) \cap C\]
\[= \{1,2,3,4,5,6\}\cap C\]
\[= \{3,5\}\]

Answer 31

At each step we are performing one set operation and replacing the expression with the result.

Answer 32

ok

Answer 33

So what did you get for the rest?

Answer 34

yes ty