The statement 3+3=6 serves as a/an what to the conjecture that the sum of two odd numbers is an odd number

Question

The statement 3+3=6 serves as a/an what to the conjecture that the sum of two odd numbers is an odd number

0

1. A proposition states a fact.
If we can only find even a single one situation that satisfies all the conditions of the proposition, but which turns out to be false, it immediately invalidates the proposition.
This situation is an example of a “counter example”.

If the proposition is odd+odd=odd, then
3+3=6 is a counter example of the proposition.

The statement 3+3=6 serves as a/an “contradiction” to the conjecture that the sum of two odd numbers is an odd number.

Step-by-step explanation:

Consider the provided statement.

3+3=6

Here, we can observe that if we add two odd numbers we will get an even number. As shown in the above statement.

This is the property which helps us to conclude that sum of two odd numbers is always an even number.

You can take some example:

7+7=14

11+11=22

The conjecture is: The sum of two odd numbers is an odd number.

Which is a false.

Thus, the provided statement is contradictory to the conjecture because the sum of two odd numbers is not an odd number.

So, we can say that 3+3=6 serves as a/an contradiction to the conjecture that the sum of two odd numbers is an odd number.