Proof: A-B is a Subset of A union B | Set Theory скачать в хорошем качестве

Proof: A-B is a Subset of A union B | Set Theory

We prove that A-B is a subset of A union B. A-B is set subtraction, but it is also sometimes written as A\B, which is read as the relative complement of B with respect to A. AUB is the union of A and B and just puts the two sets together, as in it contains all elements from A and all elements from B. We can think of A-B as beginning with A and then taking all elements from B out of A. We can think of A\B as beginning with B, and then taking the set of all elements not in B that are in A. Either way, we end in the same place, with a set that has all elements of A that are not in B. To prove A-B is a subset of A union B, we just prove that if an element is in A-B then it must be in A union B as well, which we'll see is quite easy when we apply our definitions! What is a Union?    • What is a Union? (Set Theory)   What is Set Subtraction?    • What is Set Subtraction?   ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / @emery3050