Forming Conditional Statements
What is the converse of:
If Hernan doesn't play soccer, then he will play basketball.
Converse:
If Hernan is playing basketball, then he isn't playing soccer.
What is a valid conclusion that can be drawn from these statements using the Law of Syllogism?
If it is Tuesday, then I will go to the grocery store.
If I go to the grocery store, then I will buy bagels.
Conclusion:
If it is Tuesday, then I will buy bagels.
Let p represent: Josue takes a trip.
Let q represent: Josue goes skydiving.
Translate the verbal argument below into symbolic notation.
If Josue doesn't take a trip, then he doesn't go skydiving.
~p --> ~q
Statements
Hypothesis and Conclusion
What is the inverse of:
If Claudia cooks pasta, then she will not cook pizza.
If Claudia doesn't cook pasta, then she will cook pizza.
True or False. If false, provide a counterexample.
If you have a pet, then it is a cat.
False. Your pet could be a dog or a different animal!
Let p represent: Josue takes a trip.
Let q represent: Josue goes skydiving.
Translate the verbal argument below into symbolic notation.
Josue takes a trip if and only if he goes skydiving.
p <--> q
Add/Remove Not // the Opposite of
How do you form the converse?
Switch the hypothesis and conclusion
What is the contrapositive of:
If tomorrow is Saturday, then I do not have Zoom classes.
Contrapositive:
If I do have Zoom classes, then tomorrow is not Saturday.
What law is demonstrated below?
If Marissa doesn't need ice cream, then she doesn't go to the store.
If she doesn't go to the store, then she will not leave her home.
Let p represent: Carlos plays the guitar.
Let q represent: Emily plays the piano.
Let r represent: Ashley plays the drums.
What is the symbolic notation for the following statement.
Carlos plays the guitar or Ashley plays the drums.
p V r
What does ^ mean?
And
Negate the hypothesis and conclusion
What is the biconditional of:
If a number is even, then it is divisible by 2.
Biconditional
A number is even if and only if it is divisible by 2.
Using deductive reasoning, what is a valid conclusion to the following statements:
If you are a ninth grade student, then you will take English 9.
Juan is a 9th grade student.
Therefore, Juan will take English 9.
Let p represent: Carlos plays the guitar.
Let q represent: Emily plays the piano.
Let r represent: Ashley plays the drums.
What is the symbolic notation for the following statement.
If Ashley plays the drums and Emily plays the piano, then Carlos doesn't play the guitar.
(r ^ q) --> ~p
What does V mean?
Or
How do you form the contrapositive?
What is the inverse of:
If xy=z, then y=z/x.
If xy does not equal z, then y does not equal z/x.
Determine the validity of the following conditional statement. If it is false, what is a counterexample.
If two lines are perpendicular, then their slopes are not the same.
True
Let p represent: Carlos plays the guitar.
Let q represent: Emily plays the piano.
Let r represent: Ashley plays the drums.
What is the symbolic notation for the following statement.
Carlos plays the guitar, therefore Emily plays the piano.
p (triangle symbol) q.
If and only if
How do you form the biconditional?
Remove the "if..,then.."
Combine the hypothesis and conclusion with the phrase "if and only if" in the middle