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Chapter 3: Problem 35

Express each statement in "if ... then" form. (More than one correct wording in "if... then" form may be possible.) Then write the statement's converse, inverse, and contrapositive. Passing the bar exam is a necessary condition for being an attorney.

Short Answer

Expert verified
The 'if...then' form of the statement is: 'If someone is an attorney, then they have passed the bar exam'. Its converse is: 'If someone has passed the bar exam, then they are an attorney.' Its inverse is: 'If someone is not an attorney, then they have not passed the bar exam.' And, its contrapositive is: 'If someone has not passed the bar exam, then they are not an attorney.'

Step by step solution

01

Formulate the 'if...then' statement

The original statement can be rewritten in 'if...then' form as: 'If someone is an attorney, then they have passed the bar exam.' This is because being an attorney requires or necessitates that the person has passed the bar exam.
02

Find the Converse

The converse of a statement alters the direction of the original 'if...then' statement. It would thus be: 'If someone has passed the bar exam, then they are an attorney.'
03

Find the Inverse

The inverse of a statement retains the original direction but negates both the 'if' and 'then' parts. Hence, the inverse would be: 'If someone is not an attorney, then they have not passed the bar exam.'
04

Find the Contrapositive

The contrapositive of a statement both alters the direction and negates both parts. This would result in the contrapositive: 'If someone has not passed the bar exam, then they are not an attorney.'

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Most popular questions from this chapter

Write an original argument in words that has a true conclusion, yet is invalid.

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