Answer:
<h2>
Here's what makes an integer odd:</h2>
- It is NOT a multiple of 2.
- When divided by 2, the quotient would be a decimal or have a remainder or fraction.
<h2>
Here's what makes an integer even:</h2>
- When divided by 2, the quotient has a whole number.
<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>
<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>
- With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.
<h2>With the x + 2, x + 4, etc:</h2>
- An odd number and even number has a pattern....
[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]
- So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.
Here's an example:
![x= 17\\x + 2 = ?\\(17) + 2 = 19](https://tex.z-dn.net/?f=x%3D%2017%5C%5Cx%20%2B%202%20%3D%20%3F%5C%5C%2817%29%20%2B%202%20%3D%2019)
<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>
The same can go with an even number:
![x=2\\x + 6 = ?\\(2) + 6= 8](https://tex.z-dn.net/?f=x%3D2%5C%5Cx%20%2B%206%20%3D%20%3F%5C%5C%282%29%20%2B%206%3D%208)
<em>See how x is an even number and the sum of the number and six makes another even number? </em>
I hope my answer helps you understand even and odd numbers.