1 / 9

Set Operations and Venn Diagrams 2.2 – 2.3

Set Operations and Venn Diagrams 2.2 – 2.3. Intersection of Sets. The intersection of sets A and B, denoted by , is the set of all elements that are common to both. That is, . Union of Sets.

ember
Télécharger la présentation

Set Operations and Venn Diagrams 2.2 – 2.3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Set Operations and Venn Diagrams2.2 – 2.3

  2. Intersection of Sets The intersection of sets A and B, denoted by , is the set of all elements that are common to both. That is, .

  3. Union of Sets The union of sets A and B, denoted by , is the set of all elements that are either in A or B or in both. That is, .

  4. = {1, 6} Let A = {1,2,3,4,5}, B = {1,3,4,6}, and C = {1,6,7}. Find the following: 1 c. 2 a. 3 b. = {1, 2, 3, 4, 5, 6} = {1, 2, 3, 4, 5, 6} A B 3 2 4 5 1 6 7 C U

  5. Complement of a Set Let Ų be the universal set, and let A be a subset of U . The complement of A, denoted by A’, is the set of elements in U that are not in A. That is, . This set is also symbolized by U – A .

  6. = {a, b, c, d, f} Let U = {a,b,c,d,e,f}, A = {a,c,e}, B = {b,d,e,f}, and C = {a,b,d,f}. Find each specified set. 16 b. 17 a. 18 a. 19 b. = Ø = {c, e} = {a, b, c, d, f}

  7. Difference of Sets If A and B are two sets, the difference of A and B, denoted by A – B, is the set of all elements that are in A and not in B. That is, .

  8. = {2, 3} Let U = {1,2,3,4,5}, A = {2,3,4}, and B = {1,4,5}. Find each specified set. 27 b. 28 b. = {1, 5} A B 5 2 4 1 3 U

  9. Use the numbered regions of the diagram below to identify each specified set. a. b. c. d. e. = {1,2, 3,5,6,7} = {6,7} = {7} = {1,4,5,8} = {1,4,5}

More Related