Hello,
Can someone please help me with this proof?
(A-C)∩(C-B) = 0.
Do I start off by....
suppose: ~[(A-C)∩(C-B) = 0.] ?
Also, does this (0 ∩ B') equal the empty set?
Thanks...
PS. ' indicates the complement.
Why not start by the mere definition? Suppose $\displaystyle x\in\left(A-C\right)\cap\left(C-B\right)\Longrightarrow x\in A-C\,\,\,and\,\,\,also\,\,\,x\in C-B$ ...from here the way to get a contradiction is straightforward and thus no such element can exist...
Tonio