A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true except

A and B are disjoint.
A is equal to B complement.
A∪B={}
A is not a subset of B.

Question

A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true except

A and B are disjoint.
A is equal to B complement.
A∪B={}
A is not a subset of B.

anonymous · Answer

Think about it :)
In English,
A∩B = Ø
Just means A and B have no elements in common :)

anonymous · Answer

we may use venn diagrams to prove this or use the common way $$x \in A ...$$

anonymous · Answer

Or, if you want a quicker way, neither A nor B is an empty set, so
how can it be that
A∪B={}
or that there are no elements in A or in B?