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Mathematics 19 Online
OpenStudy (anonymous):

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)? Numerical Answers Expected!

hartnn (hartnn):

can u find B∩C ?

hartnn (hartnn):

its the elements common to B and C

OpenStudy (anonymous):

i only saw 1 common

hartnn (hartnn):

there are more, look carefully ....

hartnn (hartnn):

which did u get as common ?

OpenStudy (anonymous):

0

OpenStudy (hba):

It will be a null set

OpenStudy (anonymous):

Cause its evans and b has no more evans

hartnn (hartnn):

ok, look there is 5,3, and 9 also common....got it ?

OpenStudy (anonymous):

but its evens so the only one they have in common is 0

OpenStudy (hba):

B = {5, 5, 5, 3, 0, 9, 9} C = {8, 6, 7, 5, 3, 0, 9} only even of set (B ∩ C)= {} dat is empty set

OpenStudy (anonymous):

0 3 and 5,9 are in common so we'll have the other elements 6,7,8 in the answer required

OpenStudy (anonymous):

so how many? because it says evens not odds too

OpenStudy (hba):

0 is neither odd nor even

hartnn (hartnn):

actually u need to first find B∩C, then negate it and then look for even numbers.

OpenStudy (hba):

The answer is a null set

OpenStudy (anonymous):

6 ,8 are the numbers and {6,8} is the answer

OpenStudy (anonymous):

0 is even 0-2-4-6-8 and such on

OpenStudy (hba):

{} dat is empty set

hartnn (hartnn):

and no, the answer is not null set @hba

OpenStudy (hba):

No 0 is not even

OpenStudy (hba):

The answer is null

OpenStudy (anonymous):

well i am confused now.. idk the answer

OpenStudy (anonymous):

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

OpenStudy (anonymous):

{6,8} is the answer @rebecca1233

OpenStudy (anonymous):

i hope....

OpenStudy (anonymous):

so 2 numbers

hartnn (hartnn):

nopes, its not 6,8

OpenStudy (hba):

NO its {}< ANswer

OpenStudy (anonymous):

thats what im saying.. im confused

hartnn (hartnn):

B∩C = {5,3,0,9} ~(B∩C) = {1,2,4,6,7,8} so the nuber of even numbers are 4.

hartnn (hartnn):

'4' is final answer.

OpenStudy (hba):

I am sorry hartnn you are wrong

OpenStudy (anonymous):

how its askin for even ? not odd too

hartnn (hartnn):

i am certain that i am correct @hba

OpenStudy (hba):

It is only asking for even and the answer is null

OpenStudy (hba):

@hartnn Unfortunately you are not

hartnn (hartnn):

its asking for even in THAT SET.

OpenStudy (hba):

Yeah So

hartnn (hartnn):

u first need to find THAT SET

hartnn (hartnn):

then count number of even numbers.

OpenStudy (anonymous):

its empty set

OpenStudy (hba):

Stupid its asking Even number when you do B∩C

OpenStudy (hba):

Yes its an empty set Rebecca

hartnn (hartnn):

then what is ~ sign for ??

OpenStudy (hba):

That means equivalent

hartnn (hartnn):

that means NOT or negation.

OpenStudy (hba):

B∩C= {5, 5, 5, 3, 0, 9, 9}∩{8, 6, 7, 5, 3, 0, 9} = {5,3,0,9} < None of them is even so if we take out the Odd We get are answer which is {}

hartnn (hartnn):

but u didn't get ~(B∩C).....

OpenStudy (hba):

You are wrong hartnn stop fighting

OpenStudy (hba):

@Mimi_x3

OpenStudy (hba):

@nincompoop

OpenStudy (hba):

@asnaseer

OpenStudy (hba):

@UnkleRhaukus

OpenStudy (unklerhaukus):

A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B = {5, 5, 5, 3, 0, 9, 9} C = {8, 6, 7, 5, 3, 0, 9} B ∩ C = {5, 3, 0,9} ∼(B ∩ C) = {1, 2, 4, 6, 7 , 8 } even[∼(B ∩ C)] = {2, 4, 6, 8 } count { even[∼(B ∩ C)] } =

hartnn (hartnn):

thank you @UnkleRhaukus :)

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