Unit 3 Quiz Review: Logic

Write the converse of
 $If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$  

•  $If\ x\ \ne5,\ then\ 3x\ \ne15.$ 

•  $If\ x\ =\ 5,\ then\ 2x\ =\ 10.$  

•  $If\ \ 3x\ \ne15,\ then\ x\ne5.$ 

•  $If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$  

How would you negate this statement:

It is not raining.

• It is not raining.

• It is raining.

• It isn't raining.

• Raining, it is not.

Tags

CCSS.HSS.CP.A.1

ORIGINAL;
If I am a teenager, then I am super awesome
What is the converse of this statement?

• If I am super awesome, then I am a teenager
• if I am NOT a teenager, then I am NOT super awesome

Tags

CCSS.HSS.CP.A.1

ORIGINAL;
If I am a teenager, then I am super awesome
What is the inverse of this statement?

• If I am super awesome, then I am a teenager
• if I am NOT a teenager, then I am NOT super awesome

Tags

CCSS.HSS.CP.A.1

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Tags

CCSS.HSS.CP.A.3

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• I have a dog.
• I have a Siberian Husky.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

• I have a dog.
• I have a Siberian Husky.

For the converse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate