Presentation on theme: "Section 2-1 Conditional Statements. If – Then Statements If the Lions lose this week, then they are going to be 0-5. This is a conditional statement The."— Presentation transcript:
If – Then Statements If the Lions lose this week, then they are going to be 0-5. This is a conditional statement The If: If the Lions lose this week, is the hypothesis The Then: Then they are going to be 0-5 is the conclusion
Find the Hypothesis and Conclusion If Michigan beats Ohio State, then it will be an upset. Hypothesis: If Michigan beats Ohio State Conclusion: Then it will be an upset
On your own Please construct your own If – Then conditional statement
Writing a Conditional A tiger is an animal You can write this statement in two ways, which one makes sense. If it is a tiger, then it is an animal If it is an animal, then it is a tiger
Try on your own Glass objects are fragile The correct way is: If it is a glass object, then it is fragile
Counterexamples Counterexamples are one case which proves the entire statement false Example: I have the fastest car on Earth, the counterexample would be to find a faster car.
Find the counterexample If it is fragile, then it is a glass object The counterexample would be a Polaris snowmobile, they are fragile, break easy, but are not glass.
Find the counterexample If it is February, then there are only 28 days in this month Leap Year has 29 days in February
Find the counterexample If you live in California, then you live in Los Angeles A person who lives in San Diego
Venn Diagram A way to show a conditional statement visually. The hypothesis is inner circle and sits inside the set of things that satisfies the conclusion
Example If I live in Fife Lake, then I live in Michigan
Example Can you live in Michigan but not live in Fife Lake?
Example Can you live in Fife Lake, but not live in Michigan?
On your own Please construct a Venn diagram for the following conditional statement: If I live in Michigan then I cheer for the Lions.
Converse Statements Rewriting the statement so the conclusion comes before the hypothesis Ex: If the Pistons win the championship then they are the best team in basketball. Hyp: If the Pistons win the championship Conclusion: Then they are the best team in basketball Converse: If the Pistons are the best team in basketball then they will win the championship
On your own Write the converse to the statement: If I own an Arctic Cat then I have the fastest snowmobile.
Answer If I own the fastest snowmobile, then I own an Arctic Cat