Venn diagram solutions

A∩B (Intersection of A and B)

This represents the overlap between sets A and B, where both A and B occur.

A∪B (Union of A and B)

This represents the area covered by either A or B or both.

A′ (Complement of A)

This represents everything in the universal set U except for A.

A∩B′ (A and not B)

This represents the part of A that does not overlap with B.

A′∩B (Not A and B)

This represents the part of B that does not overlap with A.

A∪B′ (A or not B)

This represents everything that is in A or outside of B.

A′∪B (Not A or B)

This represents everything that is in B or outside of A.

A∪B′=(A∩B)′ (De Morgan's Law)

Everything except the intersection of A and B

A′∩B′=(A∪B)′

Everything outside both A and B