Question

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

Answer 1

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)

Answer 2

but isnt 2 a prime # so 2+1=3 = odd

Answer 3

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.

Answer 4

E. Find a counterexample for the converse of the conditional statement. If u > -5, then u is a positive.