Asked by Steve
Assume the following is a true statement.
If it is raining, I will carry an umbrella.
Which form of the original statement must also be true?
a- converse
b-- inverse
c- contrapositive
d- biconditional
My answer is c contrapositive
If it is raining, I will carry an umbrella.
Which form of the original statement must also be true?
a- converse
b-- inverse
c- contrapositive
d- biconditional
My answer is c contrapositive
Answers
Answered by
Damon
Right, if the statement is true, the contrapositive is true.
statement
If a cow, then a mammal
converse
If a mammal then a cow
who knows?
Inverse
If not a cow, then not a mammal
who knows?
Contrapositive
If not a mammal, then not a cow
TRUE
statement
If a cow, then a mammal
converse
If a mammal then a cow
who knows?
Inverse
If not a cow, then not a mammal
who knows?
Contrapositive
If not a mammal, then not a cow
TRUE
Answered by
Damon
In other words if I am not carrying an umbrella, it is not raining.
The biconditional would be
I carry an umbrella if and only if it is raining.
However you might carry one even on a sunny day.
The biconditional would be
I carry an umbrella if and only if it is raining.
However you might carry one even on a sunny day.
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