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

Question

Nehemiah Cherry

Mathematics

5 January, 17:47

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

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Briggs · Answer 1

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

Odd numbers are numbers which can NOT be divided evenly into groups of two.

6 can be divided by 2 (6:3=2), which means that the sum of two odd numbers is not an odd number.

On the other hand, there is a statement that is always true (a theorem) about the sum of two odd numbers: The sum of two consecutive odd numbers is divisible by 4.