Conditional Statements
Converse
negation
Symbolic
Contrapositive
100

This is the mathematical notation for if then of a conditional statement

What is p->q

100

The converse is just doing this to the conditional

What is reversing, switching, or change order

100
this is another word for negation
What is not
100

Given
 p: I study
 q: I will pass
~q>~p

If I did not pass then I did not study

100
Contrapositive negates and does this other thing to the original conditional statement
What is switches or reverse?
200
This would be the hypothesis in this phrase "If you don't have a pass then you are tardy "
What is You don't have a pass.
200

the mathematical notation for the converse is usually written in this form

What is q -> p

200
this is the symbol of negation
What is ~?
200

what is a valid conclusion

If I run then I will get sweaty
If it is sunny outside then I will run


If It is sunny outside then I will get sweaty

200
the contrapositive of " If an angle is greater than 90 degrees then it is not acute.
What is if an angle is acute then it is not greater than 90 degrees
300
In the statement " If I bowl 300 then I can call myself a professional" this would be the conclusion.
What is I can call myself a professional?
300

If x-4=7 then x=11. The converse would be .

What is if x=11 then x-4=7.

300
the negation of it is hot would be this
What is it is not hot
300

What is the contrapositive of
~p>q

~q>p

300
the mathematical notation for contrapositive reads as such
What is ~q --> ~p
400

Law of detachment is this?

 If p , then q
p  
q  


400
the converse of this statement " If I run in the rain then I slip in front of the whole world " would be.
What is If I slip in front of the whole world , then I ran in the rain.
400
this is the definition of negation
What is the opposite of the original statement?
400

give me the symbolic translation

Given
p: If the bears do not win

q: our team goes to nationals

If the bears did win then our team does not go to the nationals.

~p>~q

400
the truth value is determine by the contrapositive and the conditional
What is false
500

Law of syllogism is this

If p , then q . If q , then r . If p , then r .
OR

p>q

q>r

then p>r

500
the original conditional would be this if the converse is "If I miss practice then I will sit out next game"
What is If I sit out next game then I missed practice.
500
this involves negating the hypothesis and conclusion.
What is inverse
500

Write the symbol for biconditional and what it translates to

⇿
If and only if

500
the category of topic not shown in the headlines or categories
What is inverse
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