Write a conjecture using the information provided. If two numbers are odd, then their sum is even. The two numbers are 3 and 19.

Question

Write a conjecture using the information provided.

If two numbers are odd, then their sum is even. The two numbers are 3 and 19.

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RuslanHeatt 5 years 2021-08-03T05:53:37+00:00 1 Answers 48 views 0

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    2021-08-03T05:55:21+00:00

    An integer has to be either even or odd

    Even numbers are numbers divisible by 2, while odd numbers are not

    Let us represent the 2 even numbers like this

    ax+1

    bx+1

    When you add the two numbers together, you get

    2a + 1 + 2b + 1

    This can be simplified using the inverse of distributive property

    2(a+b) + 2

    2(a+b+1)

    This is the sum, which is divisible by 2

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