Write as a conditional
Happy people dance.
If a person is happy, then they will dance.
ACP HS is not in Gilbert.
ACP HS is in Gilbert.
What is next: 4, 7, 12, 19, ...
What is: 28?
The hypothesis of the following conditional: "If you hear the fire alarm, then you should exit the building."
You hear the fire alarm.
Given: "If you can dream it, you can do it." and We know: Laith dreamed it.
Laith can do it.
All jobs require work.
If you have a job, then you must work.
True or False Negations always have the word "not" in them.
False.
What is next: 24, 12, 6, 3, ...
What is 3/2 or 1.5?
Given: "If it is July or August, then it is summer." and "If it is summer, then it will not snow." We know: It is August.
It will not snow; Law of Syllogism.
I can drive when I pay for my own insurance.
If I pay for my own insurance, then I can drive.
Some cats bark.
No cats bark.
What is next? 1(1/2), 1(5/6), 2(1/6), 2(1/2), ... (these are mixed numbers... not multiplication)
What is 2 5/6
If Ellie cries then Cooper will meow. Cooper meowed.
Invalid; Error of Converse
Cauchy wants his food when it is bed time.
If it is bed time, then Cauchy wants fed.
All cats purr.
Some cats do not purr. OR Not all cats purr.
For the first 7 weeks of school, Kenji noticed that the cafeteria had more pizza choices on Friday . He then claims Friday will always have more pizza choices. What type of reasoning did he use?
Inductive
Given: "If Ryan takes notes then Elizabeth will study" We know: Ryan did not take notes.
Invalid; Error of Inverse
Don't paint your room unless you have asked Mom.
If you have not asked Mom, then don't paint your room.
No dogs purr.
Some dogs purr.
Fatima concluded that two angles were a linear pair and then wrote an equation that added to 180 in order to find a missing angle. What type of reasoning did she use?
Deductive
Determine if the following conditional is biconditional. Write the biconditional statement or a counterexample. If two lines are parallel then they have the same slope.
Yes. Two lines are parallel if and only if they have the same slope.
Given: If Ethan does not do his homework then he will not pass the test. 2. If Ethan does not pass the test then he cannot go to the homecoming dance.
We know: Ethan went to the homecoming dance.
Ethan did his homework; Law of contrapositive.