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esme3852
09.08.2019 •
Mathematics
Which of the following sets is not closed under addition.
a) natural numbers
b) whole numbers
c) integers
d) odd numbers
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Ответ:
Step-by-step explanation:
The odd numbers.
Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.
If you need a more mathematical proof, you could do it this way.
2x+1
2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number
So continue on
2y + 1 is the other number.
2x + 1 + 2y + 1 = 2(x + y) + 2
2 (x + y ) is even. When you add 2 to it, nothing changes. The result is still even.
Ответ: