Question

An individual's phone number contains seven digits, not including the area code, from the set A shown below.
A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Set B represents the digits in Brent's phone number.
B = {5, 5, 5, 3, 0, 9, 9}

Set C represents the digits in Charlie's phone number.
C = {8, 6, 7, 5, 3, 0, 9}

How many even numbers are in the set ∼(B ∩ C)?

Answer 1

(B ∩ C) is the set containing the elements common to both B and C. Can u tell me the elements in it?

Answer 2

@vetdoc

Answer 3

which ones contain both B and C? ummm. {0,3,56,7,8,9} ?

Answer 4

6,7,8 r in C but nt in B. the elements that is in (B ∩ C) should be in B and C

Answer 5

getting it? @vetdoc

Answer 6

oooh so its just {0,3,5,9}?

Answer 7

ya:)

Answer 8

What does the ~ mean though?

Answer 9

∼(B ∩ C) is the set containing the elements that are not in the set (B ∩ C) but in A

Answer 10

~ - compliment

Answer 11

oh, so I need the even numbers in a? or the even numbers in {0,3,5,9}?

Answer 12

first u need to find the elements in the set ∼(B ∩ C)

Answer 13

have u found it? @vetdoc

Answer 14

What?? What do you mean the elements in the set?

Answer 15

in this case the numbers that r in set r elements of the set

Answer 16

so there are four elements?

Answer 17

first plz tell me the numbers that r in the set ~(B∩ C)?

Answer 18

didn't I already tell you???????????

Answer 19

nope. u told me the elements in (B∩ C). I want u to tell me the elements in ~(B∩ C)

Answer 20

what does ~ mean again?

Answer 21

{1,2.4}

Answer 22

the complement.
~A-the complement of set A

Answer 23

{1,2,4} ?

Answer 24

@ajprincess ?

Answer 25

hw about 6,7,8

Answer 26

but they're in C

Answer 27

~ (B∩ C) will have the elements that r in A but nt in (B∩ C).

Answer 28

so.... what?????

Answer 29

So
~ (B∩ C)={1,2,4,6,7,8}

Answer 30

so then the even numbers are 2, 4, 6, and 8? :D

Answer 31

ya. and hw many r there?

Answer 32

4

Answer 33

okay one more quick question. what does \[\cup \] that upside down mean?

Answer 34

U-union
BUC-this set contains all the elements in B and C

Answer 35

yeah but whats the upside down thing mean

Answer 36

U it means union .
∩- intersection

Answer 37

still not clear?