3.2/3.3/3.4 Quiz - DB

p: It is raining.

q: The game is cancelled.

It is not raining and the game is cancelled.

• $p\rightarrow q$

• $q\rightarrow p$

•  $\sim p\rightarrow q$ 

• $\sim p\wedge q$

Tags

CCSS.7.SP.C.8B

p: It is raining.

q: The game is cancelled.

r: The boy is sad.

If it is raining and the game is cancelled, then the boy is sad.

•  $p\rightarrow q\wedge r$ 

•  $q\rightarrow p\vee r$ 

•  $p\wedge q\rightarrow r$ 

•  $\sim p\wedge q\vee r$ 

Tags

CCSS.HSS.CP.A.1

g: The girl runs.
h: The rabbit hops.
j: The girl and the rabbit are having fun.

 $\sim g\vee\sim h\rightarrow\sim j$  

• If the girl runs or the rabbit doesn't hop, then they are having fun.

• If the girl doesn't run or the rabbit doesn't hop, then they are not having fun.

• If the girl runs and the rabbit hops, then they are having fun,

• If the girl doesn't run and the rabbit doesn't hop, then they are not having fun.

Let p represent: It is Friday
Let q represent: We have a test
Let s represent: I am excited 

What sentence below has the following symbolic notation: 

 $\sim p\ \wedge\ \sim q\ \therefore\ s$  

• I am excited because it is not Friday, therefore we do not have a test.

• It is not Friday and we don't have a test, therefore I am excited.

• It is Friday and we have a test and I am excited.

• I am excited, therefore, it is not Friday or we don't have a test.

Let p represent: It is Friday
Let q represent: We have a test 
Let s represent: I am excited

What sentence below has the following symbolic notation: 

 $p\ \vee\ \sim q\ \longrightarrow\ s$  

• If it is Friday or we don't have a test, then I am excited.

• If it is not Friday or we have a test, then I am excited

• If we don't have a test and it's Friday, then I am excited.

• I am excited, therefore, it is Friday and we don't have a test.

Which of the following is a counterexample to the following conjecture? If  $x^2\ =\ 4$ , then x = 2

• x = 4

• x = -2

• x = 2

• x = -4

Which is a counterexample to the following statement?

If an animal is brown, then it is a dog.

• Squirrel

• Chocolate lab

• White rabbit

• Blue jay

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which is a counterexample to the following statement?

If two angles are supplementary, then they are both  $90\degree$ .

•  $45\degree$  and  $45\degree$  

•  $100\degree$  and  $80\degree$  

•  $120\degree$  and  $10\degree$  

•  $22\degree$  and  $68\degree$  

Tags

CCSS.8.G.A.5

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

Tags

CCSS.L.6.5B

CCSS.L.8.5B

CCSS.W.11-12.2D

The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?

• -3 and -3
• True. There is no counterexample
• -1 and -1
• 4 and 6

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B