SETS_sets - B ∪ C = A ∪ C ∩ B ∪ C Subset Properties...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Summary of Set Theory Set Equality A = B x x A x B A = B A B B A Subset A B x x A x B Proper Subset A B A B ∧ ¬ ( A = B ) Power Set P A = { B | B A } S P A x x S x A Set Union A B = { x | x A x B } Set Intersection A B = { x | x A x B } Set Difference A - B = { x | x A x B } Set Complement A = { x | x U x A } Empty Set A = x x A Universal Set A = U x x A De Morgan ( A B ) = A B ( A B ) = A B Commutative A B = B A A B = B A Associative ( A B ) C = A ( B C ) ( A B ) C = A ( B C ) Distributive ( A B ) C = ( A C )
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: B ) ∪ C = ( A ∪ C ) ∩ ( B ∪ C ) Subset Properties A ∩ B ⊆ A A ⊆ A ∪ B ∅ ⊆ A A ⊆ A A ⊆ B ∧ B ⊆ C ⇒ A ⊆ C Emptyset Identities A ∩ ∅ = ∅ A ∪ ∅ = A A- ∅ = A ∅ -A = ∅ ∅ = U Universal Set Identities A ∩ U = A A ∪ U = U A-U = ∅ U-A = A U = ∅...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern