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.
Answer This Question
Related Questions
 Math  write the converse and contrapositive for the conditional statement below...
 Discrete Mathematics  Write the inverse, converse, and contrapositive of the ...
 Math  Part 1: Write two conditional statements for which the converse is true. ...
 Math  1. Write the converse of the following true conditional statement. if the...
 math  Part 1: Write two conditional statements for which the converse is true...
 Math  Let p > q represent the conditional statement All hummingbirds love ...
 Geometry  Conditional Statements/Proof  Rewire each statement as two ifthen ...
 Geometry  Tell whether each statement is true or false. Then write the converse...
 math  Identify the contrapositive of the following statement, then decide if ...
 Geometry  Can you tell em if this is right? If not, can you tell me what words ...
More Related Questions