At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
rhythm of the falling rain answered 6 yearGiven an if-then statement "if p, then q", we can create three related statements:
A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.
For instance, “If it rains, then they will cancel school.”
“It rains, “is the hypothesis.
“They will cancel school,” is the conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
The converse of “If it rains, then they will 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.
The inverse of “If it rains, then they will cancel school” is “If it does not rain, then they do not cancel school.”
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.
The contrapositive of “If it rains, then they will cancel school” is “If they do not cancel school, then it does not rain.”
Summary:
Statement If p, then q.
Converse If q, then p.
Inverse If not p, then not q.
Contrapositive If not q, then not p.
If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
Example:
Statement If a person is 18 years old, then he is a legal adult.
Converse If a person is a legal adult, then he is 18 years old.
Inverse If a person is not 18 years old, then he is not a legal adult.
Contrapositive If a person is not a legal adult, then he is not 18 years old.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
