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 ...
- 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 if-then ...
- 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