Interpret and create Venn diagrams

The Venn diagram shows the intersection of sets A and B. ξ is the universal set. Which part of the diagram should be shaded to represent elements of both set A and set B?

• The overlapping region of sets A and B

• Only the part inside set A but outside set B

• Only the part inside set B but outside set A

• The region outside both sets A and B

Elements that are in the universal set but are not members of set A or set B belong to which region in a Venn diagram?

• The region outside both circles representing A and B

• The region inside both circles representing A and B

• The region inside only circle A

• The region inside only circle B

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {even numbers} B = {factors of 20} a) List the elements of set A.

• {2, 4, 6, 8, 10}

• {1, 3, 5, 7, 9}

• {1, 2, 4, 5, 10}

• {2, 4, 5, 6, 8}

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {even numbers} B = {factors of 20} b) List the elements of set B.

• {1, 2, 4, 5, 10}

• {2, 4, 6, 8, 10}

• {1, 2, 5, 10, 20}

• {1, 2, 4, 8, 10}

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {even numbers} B = {factors of 20} c) List the elements that are in both set A and set B.

• {2, 4, 10}

• {1, 2, 5}

• {2, 4, 8}

• {4, 8, 10}

Which of the following correctly represents the sets A = {even numbers} and B = {factors of 20} within ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} on a Venn diagram?

• A = {2, 4, 6, 8, 10}, B = {1, 2, 4, 5, 10}

• A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}

• A = {2, 4, 6, 8, 10}, B = {3, 6, 9}

• A = {1, 2, 3, 4, 5}, B = {6, 8, 10}

Represent the information of subject choices by Eva and Ron in a Venn diagram.

• A Venn diagram shows the overlap and differences in subject choices between Eva and Ron.

• A Venn diagram only shows the subjects chosen by Eva.

• A Venn diagram only shows the subjects chosen by Ron.

• A Venn diagram does not show any information about subject choices.

Select the correct way to draw four shapes, each one in a different section of the Venn diagram.

• Draw one shape in each of the four sections of the Venn diagram.

• Draw all four shapes in the same section of the Venn diagram.

• Draw two shapes in one section and two in another section of the Venn diagram.

• Draw three shapes in one section and one in another section of the Venn diagram.

Esther and Nijah are writing fractions in a Venn diagram. The universal set ξ is fractions between 0 and 1. Where would you place 6/12 in the Venn diagram?

• In the universal set ξ, since 6/12 is between 0 and 1.

• Outside the universal set ξ, since 6/12 is not between 0 and 1.

• In a separate set, since 6/12 is not a fraction.

• In both the universal set ξ and a set for improper fractions.

Which of the following sets best represents the fractions that Esther and Nijah would write in the Venn diagram, given that the universal set ξ is fractions between 0 and 1?

• Fractions such as 1/2, 3/4, and 2/5

• Fractions such as 3/2, 5/4, and 7/3

• Fractions such as 2, 3, and 4

• Fractions such as -1/2, -3/4, and -2/5