1 / 7

Objective- To use intersection and union to simplify problems involving sets.

Objective- To use intersection and union to simplify problems involving sets. Operations with Sets. A = { 1, 2, 3 ,4, 5}. B = { 2, 4, 6, 8, 10}. C = { 5, 6, 7, 8}. ( and ). Intersection ( ). - the elements which are common to both sets. { 2, 4}. 1) A B =.

maia
Download Presentation

Objective- To use intersection and union to simplify problems involving sets.

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. Objective- To use intersection and union to simplify problems involving sets. Operations with Sets A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} ( and ) Intersection ( ) - the elements which are common to both sets. { 2, 4} 1) A B = 4) (A B) C { 2, 4} { 5, 6, 7, 8} { 6, 8} 2) B C = { } or “empty set” { 5 } 3) A C = or “null set” or O

  2. Operations with Sets A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} - the combined set of elements from two sets with no duplication of elements. Union ( ) ( or ) { 1, 2, 3, 4, 5, 6, 8, 10} 1) A B = { 2, 4, 5, 6, 7, 8, 10} 2) B C = { 1, 2, 3, 4, 5, 6, 7, 8} 3) A C =

  3. A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} Draw Venn Diagrams to represent... 1) A B 2) A B A B 2 1 6 3 8 4 5 10

  4. A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} Draw Venn Diagrams to represent... 1) A B 2) A B A B A B 2 2 1 6 3 1 6 3 8 8 4 4 5 10 5 10

  5. A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} Draw Venn Diagrams to represent... 1) A B 2) A B A B A B 2 2 1 6 3 1 6 3 8 8 4 4 5 10 5 10 Note: The only difference is the shading.

  6. Number Line Graphs of Inequalities Intersections Unions x < 5 x < 3 x < 5 x < 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : x < 3 } { x : x < 5 } x < 5 x > 3 x < 5 x > 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : 3 < x < 5 } { x : x = Any Real Number }

  7. Number Line Graphs of Inequalities Intersections Unions x > 5 x < 3 x > 5 x < 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { } { x : x < 3 or x > 5 } x > 5 x > 3 x > 5 x > 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : x > 5 } { x : x > 3 }

More Related