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Mathematics 22 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)?

OpenStudy (anonymous):

this is simple, let me ask you a question first. How many even numbers are in B?

OpenStudy (anonymous):

i dont know if 0 is even or odd.

OpenStudy (anonymous):

We're just going to assume it's even, for the time being

OpenStudy (anonymous):

so then it'd be 3?

OpenStudy (anonymous):

No, they're asking us for the intersection of the two sets. 0 is the only even number, so at most the answer can be 1. Because 0 doess show up in set C, the answer is 1 :)

OpenStudy (anonymous):

so if it was B U C itd be 3?

OpenStudy (anonymous):

if they were simply asking us for B U C, ffor all numbers, the answer would be 4

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