Conditional Statements, Counterexamples, Logic & Proofs

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Is this statement true?

• Yes
• You can get another animal.  Its true!
• False.  you can get a cat.
• I don't like animals

Tags

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RL.11-12.1

CCSS.RI.8.1

CCSS.RI.8.8

What is the conclusion to the statement?

• You like fried chicken
• You only like fried chicken from KFC
• You like KFC
• You hate KFC

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

Tags

CCSS.L.8.3A

CCSS.L.8.1C

CCSS.L.2.1F

What is the inverse to this statement?

• If you live in Canada, you live in Montreal
• If you don't live in Montreal, then you don't live in Canada.
• If you don't live in Canada, you don't live in Montreal.
• Montreal is in Brazil.

What is the converse to this?

• If you are unhealthy, then you eat donuts
• If you're not unhealthy, then you don't eat donuts
• If you don't eat donuts, you are not unhealthy
• I like donuts.

Is the converse to this true?

• Its false.  Parallel lines intersect.
• True -- Parallel lines will not intersect if they are parallel.
• False.  
• What are parallel lines?

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

What is the contrapositive?

• If Grace is not tired, then she does not sleep.
• If Grace does not sleep, then she is not tired.
• If Grace sleeps, then she is tired.
• Grace never sleeps anyways.  So its all moot.

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.
• If the food is not in the oven, then it is not cooked.
• If the food is cooked, then its in the oven.
• If food is not in the oven, then its cooked.

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F