Hypothesis/Conclusion
Symbols
Mixed Bag
C.I.C.
Venn Diagrams
100
Hypothesis of "If elephants fly, then fish don't swim."
elephants fly
100
"If you get back late, then Mom will be mad" q V p
Mom will be mad or you get back late
100
Counterexample for "If it is a day of the week, then it is Thursday."
Sun, Mon, Tues, Wed, Fri, Sat
100
Converse of If it rains, then I stay home.
If I stay home, then it rains.
100
How many people were surveyed?
42
200
Conclusion of "If elephants fly, then fish don't swim."
fish don't swim
200
"If you get back late, then Mom will be mad p <---> q
You get back late if and only if Mom will be mad
200
Make a sentence for the Venn Diagram.
Some people play tennis and play the violin.
200
Inverse of If it rains, then I stay home.
If it does not rain, then I do not stay home.
200
How many like fruit or chips?
33
300
p of "If Tania is tired, then she takes a nap."
Tania is tired
300
"If you get back late, then Mom will be mad ~q
Mom will not be mad
300
Therefore
300
Contrapositive of If it rains, then I stay home.
If I do not stay home, then it does not rain.
300
How many only like chips?
10
400
q of "If Tania is tired, then she takes a nap."
she takes a nap
400
"If you get back late, then Mom will be mad" You get back late and Mom is not mad.
p ^ ~ q
400
How many students do not like both rugby and kayaking?
40
400
q ---> p
Converse
400
How many like fruit and chips?
12
500
Hypothesis of JKL -----> MNO
JKL
500
"If you get back late, then Mom will be mad" Mom is mad or you did not get back late.
q V ~ p
500
Inverse
"If I stay at home, then I do not pitch at the game."
If I do not stay at home, then I do pitch at the game
500
~ p ---> ~ q
Inverse
500
How many students do not like fruit or chips?
9