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

@jim_thompson5910

Answer 2

Can you form the set B ∩ C for me?

Answer 3

any ideas?

Answer 4

If you're not sure, then B ∩ C is the set of numbers that are in BOTH set B AND set C

Answer 5

would it be just 1 ? since they r EVEN numbers ?

Answer 6

are you able to form the set B ∩ C at all?

Answer 7

well is it 5, 3, 0, 9 ?

Answer 8

yep, B ∩ C = {5,3,0,9}

now use this to form ~(B ∩ C)

Answer 9

do you know what I mean?

Answer 10

not really lol

Answer 11

well you basically start with set A

then you erase any number you find in the set {5,3,0,9}

what are you left with when you do that?

Answer 12

like i erase the numbers that are in set 5,3,0,9 from set A ?

Answer 13

exactly

Answer 14

it's like you're forming a new set by starting with all of set A...but kicking out anything you find in {5,3,0,9}

Answer 15

so it would be 0,1,2,4,6,7,8

Answer 16

close, it's actually {1, 2, 4, 6, 7, 8}...you forgot to kick out 0

That's the set ~(B ∩ C)

so ~(B ∩ C) = {1, 2, 4, 6, 7, 8}

since there are 3 even numbers in this set (2, 4, 8) this means the answer is 3

Answer 17

ohhh ok :)