A Union B Equals A Intersect B iff A=B | Set Theory скачать в хорошем качестве

A Union B Equals A Intersect B iff A=B | Set Theory

Let A and B be two sets. Then, A=B if and only if A union B equals A intersect B. We will show this basic biconditional set equality result in today's set theory video lesson. We use what's called "double inclusion", which is just how we prove two sets are equal. To show A=B we prove A is a subset of B and B is a subset of A. A simple set of self-evident equalities will show that A union B equals A intersect B. Lesson on set union:    • What is a Union? (Set Theory)   Lesson on set intersection:    • What is an Intersection? (Set Theory)   Proof that A intersect A equals A:    • Proof: Idempotent Property of Set Intersec...   Proof that A union A equals A:    • Proof: Idempotent Property of Set Union | ...   Thanks to Nasser Alhouti, Robert Rennie, Barbara Sharrock, and Lyndon for their generous support on Patreon! ◆ Donate on PayPal: https://www.paypal.me/wrathofmath ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   I hope you find this video helpful, and be sure to ask any questions down in the comments! +WRATH OF MATH+ Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / @emery3050