Question

write the converse and contrapositive for the conditional statement below

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
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Answer #1
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.
answered by: ash
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Answer #2
but isnt 2 a prime # so 2+1=3 = odd
answered by: tearria
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Answer #3
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)
answered by: jeannette
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