Question

A ∩ B'

Can I write that as

x∈B'↔x∈A???

Answer 1

In a venn diagram, that is the intersection of A and B

Answer 2

like u can see x∈B' doesn't imply that x∈A
and x∈A doesn't imply that x∈B'

Answer 3

but B complement is everything not in B.

Answer 4

that's right, but in the picture i made , some of B' are also in A

Answer 5

and some not

Answer 6

A ∩ B' this means, elements of A that are not in B

Answer 7

right so if x is a member f B complement, it is also a member of A

Answer 8

this x is in B' complement, but not in A