Interactive Set Theory Explorer

Sets are one of the most fundamental concepts in mathematics, forming the building blocks for topics such as algebra, probability, and logic. This interactive tool, using Venn diagrams, is designed to help learners visualize and understand key set operations in a hands-on way.

Enter or add elements to two sets A and B within a universal set U. Instantly see how these changes affect important operations:

• Union (A \( \cup \) B): All elements that are in A, in B, or in both.
• Intersection (A \( \cap \) B): Elements that A and B have in common.
• Difference (A - B): Elements in A that are not in B.
• Complement (A'): Elements in U that are not in A.
• Power Set ( \( \mathcal{P} (\mathbb{A}) \)): All possible subsets of A.

Experiment with different elements to deepen your understanding of set theory. As you modify sets A and B, the results update instantly - helping you see patterns, relationships, and the logic behind these essential operations.