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.

Answer 1

$A\cup B=\{\}$

Answer 2

Answer:

Option 3

Step-by-step explanation:

We have give $A\capB=\phi$

Case1:

A and B are non empty set which means A and B are disjoint

Hence, Option 1 is correct.

Case2:

When there intersection is empty means there is nothing common

Hence, A is not of B  or A is equal to complement of B

Hence, Option 2 is correct.

Case3:

A and B are non-empty sets means their union can not be empty

Hence, option 3 is incorrect.

Case4:

A can not be subset of B because Subset is the same elements in B of A which is not possible because their intersection is empty

Hence, Option 4 is correct.

We have to choose false statement

Therefore, Option 3