geometry

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humakhan

Junior Member
Joined
May 19, 2005
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182
What would be the counterexample to the statement below?
if the sum of two integers is even, then both of the integers are even.

so i think its right...

like 2 + 2 = 4
and so on.....

but wht would be the counterexample..
counterexample is a false example..... !
 
Hi Huma! :D

Think about it: 21+7=28, the sum is even, but neither of those numbers are even. Does that help you?
 
humakhan said:
What would be the counterexample to the statement below?
if the sum of two integers is even, then both of the integers are even.

so i think its right...

like 2 + 2 = 4
and so on.....

but wht would be the counterexample..
counterexample is a false example..... !
Click to expand...

A counterexample would be two numbers a and b whose sum is an even number, but a and b are not both even.
 
:D Hey,
here are some more examples: 2*5=10
4*3=12
6*1=6
Or u can think of it as an even times an odd is always an even. :lol: I'm new on here, so help me out if i'm wrong or need help !!!!!!
8-) N.C.'s Math Wiz 8-)
 
N.C.'s Math Wiz said:
:D Hey,
here are some more examples: 2*5=10
4*3=12
6*1=6
Or u can think of it as an even times an odd is always an even. :lol: I'm new on here, so help me out if i'm wrong or need help !!!!!!
8-) N.C.'s Math Wiz 8-)
Click to expand...

Yes, Math Wiz, I think you need help. The original problem dealt with the sum of two numbers, not their product.

Your observation about what happens when you multiply two numbers doesn't really pertain, here.....
 
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