Examples for

Set Theory

Set theory is the mathematical theory of collections of objects. Natural questions that arise in set theory are set membership, overlap, disjointedness and equality. Use Wolfram|Alpha's symbolic capabilities to test for set membership, set equality and subset relations; to find Cartesian products of sets; and to draw Venn diagrams.

Set Theory

Perform various set-theoretic operations. Build sets with operations such as union, intersection, difference, etc.

Generate a Venn diagram:

Test whether a given equation of sets is true:

Determine whether one set is a subset of another:

Compute the Cartesian product of two sets: