# Venn diagrams Intersections and Unions

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```					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}
Intersection (  ) ( and ) - the elements which are common to both sets.

1) A  B = { 2, 4} 2) B  C = { 6, 8} 3) A  C = { 5 }

4) (A  B)  C

{ 2, 4}  { 5, 6, 7, 8} { } or “empty set”
or O

or “null set”

Operations with Sets A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10} C = { 5, 6, 7, 8} Union (  ) ( or ) - the combined set of elements from
1) A  B = { 1, 2, 3, 4, 5, 6, 8, 10}

two sets with no duplication of elements.

2) B  C = { 2, 4, 5, 6, 7, 8, 10} 3) A  C = { 1, 2, 3, 4, 5, 6, 7, 8}

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 1 3 5

2 4

B 6 8 10

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 1 3 5

2 4

B 6 8 10

A 1 3 5

2 4

B 6 8 10

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 1 3 5

2 4

B 6 8 10

A 1 3 5

2 4

B 6 8 10

Note: The only difference is the shading.

Number Line Graphs of Inequalities
Intersections x<5  x<3
0 1 2 3 4 5 6

Unions x<5  x<3
0 1 2 3 4 5 6

{x:x<3}
x<5

{x:x<5}
x<5

 x>3

 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 }

Number Line Graphs of Inequalities
Intersections x>5  x<3
0 1 2 3 4 5 6

Unions x>5  x<3
0 1 2 3 4 5 6

{
x>5

}

{ x : x < 3 or x > 5 }
x>5

 x>3

 x>3

0 1 2 3 4 5 6

0 1 2 3 4 5 6

{x:x>5}

{x:x>3}

```
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 views: 301 posted: 6/1/2008 language: English pages: 7