Question

Which is a counterexample to this conjecture?

The sum of 3 and any other number is an odd number.

A.
3 + 4 = 7

B.
3 + 51 = 54

C.
3 + 58 = 61

D.
3 + 98 = 101

Answer 1

I'm thinking it's either between A or B. @No.name

Answer 2

i don't know what is counter-example :(

Answer 3

OH okay! That's fine.

Answer 4

@tester97 @Whitemonsterbunny17

Answer 5

Its not A. The claim says that if we add any number to 3 we get an odd number. Is this true? How can we show that it is not?

In what example to they add a number to 3, and do NOT get an odd number. (i.e. they get an even number)?

Answer 6

Is it C

Answer 7

Oh so basically , a counter-example is one that rules out the statement

Answer 8

is 3+58 =61 an even number?

Answer 9

we are trying to show that it is NOT ALWAYS the case that when we add a number to 3 we get an even number.

Answer 10

oh i mean D

Answer 11

wait thats an odd numbr

Answer 12

do you know what even and odd is @VivaLaChloe1 ?

Answer 13

No duhh. .-.

Answer 14

Ok then. Again, in which example do they add a number to 3 and get an EVEN number?

Answer 15

So is it B

Answer 16

correct.

Do you see how that is the example that proves that if we add a number to 3, we dont always get an odd number?

Answer 17

Kinda

Answer 18

we added a number to 3 and got an even number right?

Answer 19

thus it is NOT the case the 3 plus a number is always odd.

Answer 20

any of these would have been a counter example

3+3=6
3+5=8
3+11=14
3+any odd number = even number

Answer 21

yes @No.name it is just an example to show something is not true

if we have the claim that

all animals are dogs

then a counter example would be a cat.

because a cat IS an animal that IS NOT a dog.

Answer 22

oh i see,