SETS 2 – Union and Intersection

SETS 2 – Union and Intersection

UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements.

- the symbol that shows union of sets is U

EXAMPLE : { a , b , c , d , e } U { 1 , 2 , 3 , 4 }

SETS 2 – Union and Intersection

UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements.

- the symbol that shows union of sets is U

EXAMPLE : { a , b , c , d , e } U { 1 , 2 , 3 , 4 }

Answer : { a , b , c , d , e , 1 , 2 , 3 , 4 }

SETS 2 – Union and Intersection

UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements.

- the symbol that shows union of sets is U

EXAMPLE : { a , b , c , d , e } U { 1 , 2 , 3 , 4 }

Answer : { a , b , c , d , e , 1 , 2 , 3 , 4 }

EXAMPLE : { c , d , e , f } U { a , b , c , d , e }

Answer { a , b , c , d , e , f } ** no need to repeat elements

SETS 2 – Union and Intersection

INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ?

- the symbol for intersection is ∩

SETS 2 – Union and Intersection

INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ?

- the symbol for intersection is ∩

EXAMPLE : { 1 , 2 , 3 , 4 , 5 } ∩ { 3 , 4 , 5 , 6 }

SETS 2 – Union and Intersection

INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ?

- the symbol for intersection is ∩

EXAMPLE : { 1 , 2 , 3 , 4 , 5 } ∩ { 3 , 4 , 5 , 6}

Answer : { 3 , 4 }

SETS 2 – Union and Intersection

INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ?

- the symbol for intersection is ∩

EXAMPLE : { 1 , 2 , 3 , 4 , 5 } ∩ { 3 , 4 , 5, 6 }

Answer : { 3 , 4 }

EXAMPLE : { a , -2 , d , 4 , f , 6 } ∩ { 4 , d , -6 , s , 1 , a }

SETS 2 – Union and Intersection

INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ?

- the symbol for intersection is ∩

EXAMPLE : { 1 , 2 , 3 , 4 , 5 } ∩ { 3 , 4 , 5, 6 }

Answer : { 3 , 4 }

EXAMPLE : { a , -2 , d , 4 , f , 6 } ∩ { 4 , d , -6 , s , 1 , a }

Answer : { a , d , 4 }

SETS 2 – Union and Intersection

EMPTY SET – a set with no elements. Usually occurs with intersection of sets and the two sets have nothing in common

- the symbol for an empty set is Ø

EXAMPLE : { 3 , 4 , 5 , 6 , 7 } ∩ { 10 , 11 , 12 }

SETS 2 – Union and Intersection

EMPTY SET – a set with no elements. Usually occurs with intersection of sets and the two sets have nothing in common

- the symbol for an empty set is Ø

EXAMPLE : { 3 , 4 , 5 , 6 , 7 } ∩ { 10 , 11 , 12 }

Answer : Ø

ASSIGNMENT :

1. Open the Drill link and complete all problems

2. Open the solution guide and check your answers