LT 2 - 2: Conditional Statements and Truth Value

A(n) ____ is an if-then statement.

• Conditional statement

• Inverse statement

• Contrapositive statement

• Biconditional statement

The ____ is the part p following if.

• Hypothesis
• Conclusion 

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

The ____ is the part q following the then.

• Hypothesis
• Conclusion

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which of the following is a correct conditional statement based on the Venn Diagram?

• If I am in the yellow, then I am also in the red circle.  
• If I am in the yellow, then I am also in the green circle. 
• If I am in the green circle, then I am not necessarily in the yellow.  
• All are correct conditional statements.  

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Which of the following conditional statements are NOT correct according to the Venn Diagram?

• If I am a pitcher, then I am a baseball player.
• If I am a pitcher, then I am an athlete.
• If I am a baseball player, then I am an athlete.
• All are correct.

What is the hypothesis and conclusion of the following statement:
If I am tiger, then I am a mammal. 

• Hypothesis - I am a tiger
  Conclusion - I am a mammal 
• Hypothesis - I am a mammal
  Conclusion - I am a tiger
• Hypothesis - If I am a mammal
  Conclusion - then I am a tiger
• Hypothesis - I am a Clemson Tiger
  Conclusion - I am a national champion

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

A CONJECTURE is a conclusion you can reach based on a conditional statement. Given the following Venn Diagrams, which of the following is NOT a possible conjecture. If a person is a villain, then...

• They are disloyal.

• They are brave.

• They are interesting.

• They are dishonest.

Tags

CCSS.HSA.SSE.A.1

Which of the following is a true conjecture based on the diagram? If a person is a hero, then...

• They are ambitious.

• They are evil.

• They are conflicted.

• They are dishonest.

A counterexample is provided to show that a conjecture is false. Take for example, if it is cloudy outside, then it is raining. Recall the hypothesis is ALWAYS true, so we can say it is cloudy outside. Does it have to be raining? If not, we provide an example of what COULD be happening...

• The statement is true - cloudy outside must mean rain.

• The statement is false - it is raining, does not need to be cloudy.

• The statement is false - it could be snowing.

• The statement is false - it could be sunny.