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