Step-by-step explanation:
The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
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Converse, Inverse, Contrapositive.
Statement If p , then q .
Inverse If not p , then not q .
Contrapositive If not q , then not p .
: if you need to leave your house, then wear a mask covering your nose and mouth
: if you're wearing a mask covering your nose and mouth, then you need to leave your house
: if you don't need to leave your house, then you don't wear a mask covering your nose and mouth
: if you're not wearing a mask covering your nose and mouth, then you don't need to leave your house
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Answers & Comments
Step-by-step explanation:
The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
...
Converse, Inverse, Contrapositive.
Statement If p , then q .
Inverse If not p , then not q .
Contrapositive If not q , then not p .
statement
: if you need to leave your house, then wear a mask covering your nose and mouth
converse
: if you're wearing a mask covering your nose and mouth, then you need to leave your house
inverse
: if you don't need to leave your house, then you don't wear a mask covering your nose and mouth
contrapositive
: if you're not wearing a mask covering your nose and mouth, then you don't need to leave your house