Converse, inverse and contrapositive

[phydis]

"All engineers have practical skills or are good at mathematics"

to write down the converse, inverse and contrapositive for the above statement, I have to find the hypothesis and the conclusion of the statement. but how? is there any other way to write converse, inverse and contrapositive without thinking of hypothesis and conclusion ??

 

[micromass]

The terms "converse", "inverse" and "contrapositive" refer to implications. That is: statements of the form "If ... then ...".

So your first task is to write it as an "if ... then ..." statement. Otherwise, the question can't be solved.

 

[phydis]

"All engineers have practical skills or are good at mathematics"

How can I write this as an "if... then.." statement ?

 

[micromass]

If you're an engineer then ...

 

[blue_raver22]

Yes, there is another way to write the converse, inverse, and contrapositive without explicitly stating the hypothesis and conclusion. This can be done by simply switching the placement of the subject and predicate and adding the words "if" and "then" to create conditional statements.

Converse: If a person has practical skills or is good at mathematics, then they are an engineer.

Inverse: If a person is not an engineer, then they do not have practical skills and are not good at mathematics.

Contrapositive: If a person is not good at mathematics, then they do not have practical skills or are not an engineer.