For questions 1 through 4 your complex statement is "Dogs are mammals."

1.What is p?

A.Something is a dog

B.Something is a mammal

C.Dog

D.Dogs are

E.are mammals

F.If something is not a dog

2.What is q?

A.Something is a dog

B.Something is a mammal

C.Mammal

D.Dogs are

E.are mammals

F.If something is not a dog

3."If something is not a dog, then it is not a mammal" is the:

A.Contrapositive

B.Converse

C.Statement

D.Counterexample

E.Counterstatement

F.Inverse

4.~q => ~p for this statement is:

A.If it is a dog, then it is a mammal.

B.If it is a mammal, then it is a dog.

C.If it is not a dog, then it is not a mammal.

D.If it is not a mammal, then it is not a dog.

E.not dog, not mammal

F.hot dog

On 5 through 7 your complex statement is "If x2>10, then x>0."

5."If x > 0, then x^2 > 10" is the:

A.Converse

B.Counterexample

C.Contrapositive

D.Counterpositive

E.Counterintuitive

F.Contrary to popular belief

6."If x is not > 0, then x^2 is not > 10" is the:

A.Converse

B.Counterexample

C.Contrapositive

D.Counterpositive

E.Counterintuitive

F.Counter on a web page

7."x = - 4" would be an example of a

A.Converse

B.Counterexample

C.Contrapositive

D.Counterintuition

E.Counterpositive

F.Counter

On 8 though 10, the complex statement is "Cars can take you everywhere."

8."If it is everywhere, then a car can take you" is the

A.Converse

B.Counterexample

C.Contrapositive

D.Counterintuition

E.Counterpositive

F.Counter

9."If it is not everywhere, then a car cannot take you" is the

A.Converse

B.Counterrunner

C.Counterexample

D.Contrapositive

E.Counterpositive

F.Counter

10."A car can't take you to the moon" would be the

A.Converse

B.Countermove

C.Contrapositive

D.Counterexample

E.Counterpositive

F.Counter

For problems 11 through 12, your complex statement is "Small pinpricks of light in the night sky are stars."

11.The converse of the statement is:

A.If it is a small pinprick in the night sky then it is a star.

B.If it is not a star, then it is not a small pinprick in the night sky.

C.If it is not a small pinprick in the night sky, it is not a star.

D.Small pinpricks of light in the night sky might be satellites.

E.If it is a star, then it is a small pinprick of light in the night sky.

F.A really cool sneaker.

12."Small pinpricks of light in the night sky might be satellites" is a(n)

A.Converse

B.Inverse

C.Contrapositive

D.Counterexample

E.Contraverse

F.Statement

For problems 13 through 14 your complex statement is "Baseball players are athletes."

13.Which of the following is accurate?

A.The inverse of the statement is "If someone is a baseball player then someone is an athlete."

B.The statement is "If someone is an athlete, then they are a baseball player."

C.The statement can never be true.

D.Baseball players all have great teeth and gums.

E.The inverse of the statement is not true.

F.The converse is: "Joey is a baseball player, and he is not an athlete."

14.What is q?

A.Someone is an athlete.

B.Someone is a baseball player.

C.All baseball players are athletes.

D.All athletes are baseball players.

E.Baseball player

F.Athlete

For problems 15 through 20, create Venn Diagrams to help you solve the problems. These are not easy diagrams, take your time and think through this carefully.

Hints on 15 (highlight the following paragraph with your mouse to see them, they are in the form of questions you'll need to answer):

You aren't meant to find out how many students are in the individual courses. How many students are you supposed to have counted? How many wound up being counted? What does the overage mean? How many times too many was a student counted if he was in all three classes?

15.500 people are enrolled in at least two of these three classes: art, drama, and piano.170 are enrolled in both art and drama, 150 are enrolled in both piano and drama, and 300 are enrolled in art and piano.How many of the 500 people are enrolled in all three?

A.300

B.330

C.200

D.120

E.90

F.60

16.30 friends are coming to my house for a cookout.16 of them want hot dogs, 16 of them want burgers, and 11 of them want salad.5 say they want to have both hot dogs and salad, and of these, 3 want burgers as well.5 want only salad, and 8 want only burgers.How many people want hot dogs only?(Be sure to save your Venn diagram because you will need to submit it if you have a revision for this question.)

A.3

B.4

C.16

D.7

E.11

F.5

For #17-20, create a Venn Diagram using the following statements.Save your Venn diagram

25 students played soccer

4 boys played soccer and baseball

3 girls played soccer and baseball

10 boys played baseball

4 girls played baseball

9 students played tennis

3 boys played soccer and tennis

3 girls played soccer and tennis

3 boys played baseball and tennis

1 girl played baseball and tennis

1 boy played all three sports

1 girl played all three sports

Hints on the diagram (highlight the following paragraph with your mouse to see them):

Notice that the counts don't make sense as they are, because they're all inclusive. The soccer count includes every who plays soccer, even the students in the soccer and baseball, soccer and tennis, and the all three sport counts. The count for soccer and baseball includes the students who play all three sports. So you'll need to correct from the inside outward...first subtract the boy and girl who play all three sports from all the other counts, then subtract the dual-sport counts from the single sport counts.

Put another way, this is like the gecko problem--the entire soccer circle including the soccer and baseball students and the soccer and tennis students and the students who play soccer and baseball and tennis, will add up to 25.

17.How many students played soccer, but not baseball or tennis?

A.4

B.25

C.12

D.6

E.14

F.9

18.How many students played soccer and baseball, but not tennis?

A.5

B.10

C.3

D.4

E.7

F.13

19.How many students played just one of the three sports?

A.1

B.20

C.13

D.7

E.15

F.5

20.How many girls played only baseball?

A.7

B.2

C.3

D.4

E.10

F.1