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Mathematics 25 Online
OpenStudy (anonymous):

Given the following, determine the set (A' U B') intersect (A U B)'. U={1,2,3,4,5,6,7,8,} A={1,3,4,7,8} B={1,2,4,5}

OpenStudy (anonymous):

Hi friend, your problem confused me, U is a set, A, B are subset of U, right? and the "U" in (A'UB') is union or set U. If it's "union," the problem turns clear. If it is U, I don't know what you mean. A' (do what with)U (do what with ) B .

OpenStudy (anonymous):

U is union. not set U

OpenStudy (anonymous):

ok, that must be!!!

OpenStudy (anonymous):

you want to know how to get or just answer?

OpenStudy (anonymous):

how to get it. i have to show my work.

OpenStudy (anonymous):

good guy!! I guide you. now, tell me what A' is? in other words, A' =?

OpenStudy (anonymous):

{1,3,4,7,8}

OpenStudy (anonymous):

nope!! A' is a set whose members doesn't belong to A

OpenStudy (anonymous):

oh right

OpenStudy (anonymous):

so?

OpenStudy (anonymous):

{2,5,6}

OpenStudy (anonymous):

good, and B' =?

OpenStudy (anonymous):

{3,6,7,8}

OpenStudy (anonymous):

what does "union" mean?

OpenStudy (anonymous):

together?

OpenStudy (anonymous):

yes, so A' U B' =?

OpenStudy (anonymous):

{2,3,5,6,7,8}

OpenStudy (anonymous):

yep! let the whole thing there. write it down. left hand side

OpenStudy (anonymous):

now right hand side. do the same, what is A U B = ?

OpenStudy (anonymous):

{1,2,3,4,5,6,7,8}

OpenStudy (anonymous):

sorry, omit 6, you don't have 6 in that group

OpenStudy (anonymous):

why do you not include 6?

OpenStudy (anonymous):

because A don't have 6 and either B, how can you have 6?

OpenStudy (anonymous):

ohhh! okay i see

OpenStudy (anonymous):

ok, so take 6 out, you just have { 1,2,3,4,5,7,8}, right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok, (A U B ) ' = ?

OpenStudy (anonymous):

Hint, members doesn't belong to group

OpenStudy (anonymous):

wouldn't that be the numbers not in any of those sets?

OpenStudy (anonymous):

yea! I give you hint already. which number (just one)

OpenStudy (anonymous):

6?

OpenStudy (anonymous):

hey, hurry up, your brother want to go to bed, try to help you . just a small step. ok, you are right

OpenStudy (anonymous):

you have right hand side is {6}. now tell me, what "intersection" mean

OpenStudy (anonymous):

the numbers that are in both sets. {1,4}

OpenStudy (anonymous):

hehe,,, wrong, guy!

OpenStudy (anonymous):

the statement is right, the solution is wrong

OpenStudy (anonymous):

left hand side {2,3,5,6,7,8 } intersect with {6} = ?

OpenStudy (anonymous):

{6} is right hand side as above we count. so, the member appears in both group is ?

OpenStudy (anonymous):

6

OpenStudy (anonymous):

hehehe... thanks god, your brother can sleep now. YOU ARE RIGHT!

OpenStudy (anonymous):

so the answer is 6?

OpenStudy (anonymous):

YEAP!!

OpenStudy (anonymous):

thank you!

OpenStudy (anonymous):

and you know how to get it. can I log out?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

hehehe... bye

OpenStudy (anonymous):

bye

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