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

Algebra.Com
Question 1181577: 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 you will get a good job.

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

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").


RELATED QUESTIONS

Given the conditional statement , write the related statements converse, inverse and... (answered by Boreal)
Given the following conditional statement, write the converse, the inverse, and the... (answered by solver91311)
Given a conditional statement p --> q, find the inverse of its inverse, the inverse of... (answered by Edwin McCravy)
What is the inverse of the contrapositive of the converse of the conditional... (answered by math_helper)
Write the converse, inverse, and contrapositive of the following conditional statement (answered by DRichardson)
Need help again-thx Write the converse, inverse, and contrapositive of the following... (answered by solver91311)
Write the converse, inverse, and contrapositive of the following conditional statement (answered by Fombitz,Edwin McCravy)
I work on this problem and I'm still having trouble I need your assistant please help.... (answered by jim_thompson5910)
3. Write the following compound statement in symbolic form Let p: Today is Friday. q:... (answered by jim_thompson5910)