SOLUTION: Given the conditional statement , write the related statements converse, inverse and contrapositive. Indicate the truth value of each. 2. If you graduate from college, then

So I dont have to type so much, lets work in the abstract a bit



Let A = you graduate from college

Let B = you will get a good job



You are given  

A --> B   ("if A then B")





Converse is B --> A        ("if B then A")

Inverse is if  ~A --> ~B   ("if not A then not B")

Contrapositive is  ~B --> ~A  ("if not B then not A")

 



Of these three,  ONLY  ~B --> ~A  is logically equivalent to A --> B.



If the converse is true, then you have a biconditional:  A <--> B   ("A if and only if B"  or sometimes written  "A iff B").