Question

please answer this question ​

Answer 1

Answer:

yes,every positive integer is either even or odd

Step-by-step explanation:

for example-

5 is a odd number but also a positive integer.

2 is a even number but also a positive integer.

so we can conclude that-

every positive integer is either even or odd....

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Answer 2

Answer:

5)Let x is a positive integer which is neither odd nor even. ......(i)

It means x can't be divisible by 1 or 2 to give an integer.

But we know that every integer must be divided by 1 to give that integer.

So statement (i) is wrong.

It means every positive integer is either even odd.

6) If we divide 6m+1 by 2 we get, 3m+1/2

It means that it can't be divisible by 2 as 1/2 is added to 3m and 1/2 is not an integer.

Though it's not divisible by 2,Hence 6m+1 is an odd integer for all natural values of m.

Therefore, any positive odd integer is of the form 6m+1.

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