Venn Diagram Explorer

Two sets, drawn as overlapping circles inside the universal set. Drag any number to move it between A, B, the overlap, or outside both. Then choose an operation and watch exactly which region it means light up — with the resulting set written out below.

Drag a number into A, B, the overlap, or outside Pick an operation to shade its region The rectangle is the universal set U

Operation

The result

The three sets

What the operations mean

Union (A ∪ B): everything in A or B or both.
Intersection (A ∩ B): only what is in both.
Difference (A − B): in A but not B.
Complement (A′): everything in U that is not in A.