Set Theory A set is a collection of

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Set Theory A set is a collection of objects, or elements. Sets are represented

Set Theory A set is a collection of objects, or elements. Sets are represented by capital letters, and elements by lower case (usually). Set A contains elements 1, 3, 5, and 7. *elements do not need to go in any particular order *there are many ways to represent certain sets

A set with no elements is called an empty set (null or void). It’s

A set with no elements is called an empty set (null or void). It’s em No pty! oo o! Set A, in either case, represents the empty set.

A universal set is the set of ALL elements. Iw eve an ryt t

A universal set is the set of ALL elements. Iw eve an ryt t hin g! Set A represents the universal set.

The union of sets (A U B) is the set of all elements in

The union of sets (A U B) is the set of all elements in A or B. The union of two students’ math skills!

The intersection of sets (A B) is the set of all elements in A

The intersection of sets (A B) is the set of all elements in A and B. Our in tersec tion will be sandw that ich if y ou SHARE it!

When working with sets, Venn Diagrams become very useful in determining the truth of

When working with sets, Venn Diagrams become very useful in determining the truth of statements. A Do you swear to tell the truth, the whole truth, and nothing but the truth? B C

The shaded region represents all of set A. A B C

The shaded region represents all of set A. A B C

The shaded region represents all of set B. A B C

The shaded region represents all of set B. A B C

The shaded region represents all of set C. A B C

The shaded region represents all of set C. A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

The shaded region represents A B C

Notice and are the same! A A B C

Notice and are the same! A A B C

When working with sets, Venn Diagrams become very useful in determining the truth of

When working with sets, Venn Diagrams become very useful in determining the truth of statements. The Venn Diagrams on the previous slide showed the statement was true.

Venn Diagrams also serve as a nice way to represent data. . At a

Venn Diagrams also serve as a nice way to represent data. . At a restaurant, Bella, Edward, Jacob, Alice, and Jasper were asked if they had ordered (not eaten ) any of the following: chicken marsala, lasagna, or coke. 3 people ordered chicken marsala (Edward, Alice, Jacob). 2 people ordered lasagna (Bella and Jacob). 3 people ordered coke (Alice, Bella, and Jasper). 1 person ordered both chicken marsala and lasagna (Jacob).

Jasper (coke) Edward (chicken marsala) chicken marsala Edward Jacob Alice Bella lasagna Alice (chicken

Jasper (coke) Edward (chicken marsala) chicken marsala Edward Jacob Alice Bella lasagna Alice (chicken marsala, coke) Bella (lasagna, coke) Jasper coke Jacob (chicken marsala, lasagna)

Click on the following link to view a brief video clip. Resume the Power.

Click on the following link to view a brief video clip. Resume the Power. Point after. Venn Diagram and Instruments

Now go to the following website and practice working with Venn Diagrams! Time for

Now go to the following website and practice working with Venn Diagrams! Time for Fun!

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