Posted by bobby on .
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
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
if n+1 Is not even, then n is not prime (true if original statement is true, which it is)
but isnt 2 a prime # so 2+1=3 = odd
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.