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!
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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 ?
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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
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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.
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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
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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
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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
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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
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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
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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 ??
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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
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