Question

Ok so i'm just wanna see if I'm going in the right direction:
if A union (A\B) union (B\A) = A union B.

then I know that x is in A, x is in (A\B) or x is in (B\A). then i know that x is in A but not in B or x is in B but not in A, so it means that A is a union of B? does that make sense?

Answer 1

sorry but not really. here I suggest you chose an element x in (A U (A\B) U (B\A)) and find out that it is actually in (A U B)

Answer 2

Then is thats means x is in A U A (which equals x is in A) and x is not in B overall x is in A and x is not in B...idk what to do with the (B\A) part now -_- or does the whole thing still not make any sense?

Answer 3

idk, Im confused myself sorry haha

Answer 4

x is in A is granted. now what is (A\B) U (B\A)

Answer 5

so if x is in (A\B) or (B\A) then i know that x is in A but x is not in B. x is in B but not in A. therefore x is in A U B but not B U A? do you mean that?

Answer 6

almots; x in AUB but not in A inter B because x is in A and B but not in A and B at the same time

Answer 7

so we have x is in A or X is in(AUB)\(A inter B). so x is in AUB.
this is because x is in A and thus is also all elements that belong to both A and B. clear?

Answer 8

i hope it makes sense haha...

Answer 9

sorta. I just don't know how it became A inter B

Answer 10

ok so x is in A but not B or x is in B but not in A. its either or, the venn diagram expalins better.

Answer 11

ok ok. i think i understand know, i just drew a diagram already. I think i got it. :) thanks so much for helping me out

Answer 12

really appreciate it :))

Answer 13

yw