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

I think it's 4, I have forgot information about this subject.

Answer 2

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Answer 3

Lol. I just want to know if I am understanding this subject correctly.

Answer 4

@campbell_st

Answer 5

so are you being asked for the compliment of the intersection..?

Answer 6

Yes.

Answer 7

ok so what is the intersection of B and C..?

then choose the elements of B and C that aren't in the intersection...

Answer 8

{0, 0, 6, 8} ?

Answer 9

well 0 is in B and C so its in the intersection.

there is also an element in C that isn't in B that needs to be in the answer..

Answer 10

I thought it was just asking for the amount of even numbers in both B and C?

Answer 11

oops yep... so there then ) isn't included... so you are looking at 6 and 8...

so the answer is 2....

Answer 12

I had a question before it included that 0 was considered as a even number in a question like this?

Answer 13

Zero is an even number. ~Wikipedia
Would it be 4 then?

Answer 14

@campbell_st

Answer 15

well 0 is an element of both sets B and C so its included in the intersection.

So if your are choosing the compliment of the the intersection you are choosing the elements of B and C not in the intersection.

the intersection is {5, 3, 0, 9} the elements not in the intersection is {8, 7, 6}

the even elements are {8, 6}

Answer 16

Alright thank you! (: