Concept explainers
Prove that sum of any two odd integers is even.
Answer to Problem 16STP
Explanation of Solution
Given:
Prove that sum of any two odd integers is even.
Concept Used:
An even integer is defined as an integer which is the product of two and an integer. An even number is always divisible by 2.
An odd integer is defined as an integer which is not even.
The general form of an odd integer is
Let us, using this general form, consider two odd integers
and
So, the total sum is:
We see that the resultant sum is divisible by 2, hence is even.
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Algebra 2
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