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Mathematics 8 Online
OpenStudy (anonymous):

The set A represents even numbers to 30. A = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30} The set B represents multiples of 4 to 28. B = {4, 8, 12, 16, 20, 24, 28} How many elements are in the set A ∩ B?

OpenStudy (johnweldon1993):

So how many numbers are in Both A AND B?

OpenStudy (anonymous):

all numbers in B

OpenStudy (anonymous):

23

OpenStudy (johnweldon1993):

not the sum of the 2....let me rephrase that...how many of the SAME numbers are in both A AND B?

OpenStudy (johnweldon1993):

so if there is a 4...in A AND B...that's 1...and so on etc...

OpenStudy (anonymous):

if it is a multiple of four is even too

OpenStudy (anonymous):

so its 7?

OpenStudy (anonymous):

I think it is 7

OpenStudy (johnweldon1993):

Right, as @RaphaelFilgueiras is pointing out...EVERY number that is in B...is ALSO in A...because all multiples of 4...are even...so they are ALL in A. So how many numbers are in B?

OpenStudy (anonymous):

|dw:1369424673401:dw|

OpenStudy (johnweldon1993):

and yes, it is 7

OpenStudy (anonymous):

can you help me with one more.

OpenStudy (johnweldon1993):

Sure

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):

would it only be 2?

OpenStudy (johnweldon1993):

Yes ma'am :)

OpenStudy (anonymous):

okay, thank youu.

OpenStudy (johnweldon1993):

anytime!

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