Posted by **bobby** on Friday, December 17, 2010 at 10:19pm.

write the converse and contrapositive for the conditional statement below. decide whether each of the three statements is true or false. provide a counterexample for any false statement.

If n is a prime number, then n+1 is an even number

- Math -
**Damon**, Friday, December 17, 2010 at 10:34pm
converse

if n+1 is even, then n is prime (not necessarily so false)

if n = 9 then n+1 is even

but 9 = 3*3

contrapositive

if n+1 Is not even, then n is not prime (true if original statement is true, which it is)

- Math -
**john**, Friday, December 17, 2010 at 11:05pm
but isnt 2 a prime # so 2+1=3 = odd

- Math -
**Damon**, Saturday, December 18, 2010 at 5:59am
Good thinking.

I suspect that the original hypothesis should have stated greater than 2. That does not impact this problem because it is only asking for the converse and contrapositive.

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