Jonas is given a test question asking him to show that the sum of two integers is always an even integer which choice is the best proof of his conjecture

Question

Mathematics

Darryl Miranda

28 April, 05:58

Jonas is given a test question asking him to show that the sum of two integers is always an even integer which choice is the best proof of his conjecture

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Answers (2)

Know the Answer?

Jensen Patterson · Answer 1

Jensen Patterson 28 April, 06:55

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Whats the answer choices?

Mina Vega · Answer 2

Every time you add two odd numbers, the sum is an even number.

Look at these different examples: 5 + 3 = 8, 15 + 7 = 22, 21 + 13 = 34. So the sum of two odd numbers must be even.

Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.

Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2 (a + b + 1). Because 2 (a + b + 1) is a multiple of 2, it is an even number.

Step-by-step explanation:

those are the answer choices