which conjunction about whole numbers is true?\nthe sum of two non - zero even numbers is even and less than…

which conjunction about whole numbers is true?\nthe sum of two non - zero even numbers is even and less than the addends.\nthe sum of two non - zero even numbers is even and greater than the addends.\nthe difference of two non - zero even numbers is odd and less than the larger number.\nthe difference of two non - zero even numbers is odd and greater than the larger number.

which conjunction about whole numbers is true?\nthe sum of two non - zero even numbers is even and less than the addends.\nthe sum of two non - zero even numbers is even and greater than the addends.\nthe difference of two non - zero even numbers is odd and less than the larger number.\nthe difference of two non - zero even numbers is odd and greater than the larger number.

Answer

Explanation:

Step1: Analyze the sum of two non - zero even numbers

Let (m = 2k) and (n=2l) ((k,l\neq0,k,l\in\mathbb{Z})). Then (m + n=2k + 2l=2(k + l)), so the sum of two non - zero even numbers is even. Also, if (m = 2) and (n = 4), (m + n=6), (6>2) and (6 > 4). In general, for non - zero (m = 2k) and (n = 2l), (m + n=2(k + l)>2k=m) and (m + n=2(k + l)>2l=n) (since (k,l>0)).

Step2: Analyze the difference of two non - zero even numbers

Let (m = 2k) and (n = 2l) ((k>l,k,l\in\mathbb{Z},k,l\neq0)). Then (m - n=2k-2l = 2(k - l)), which is even. So the statements about the difference being odd are wrong.

Answer:

The sum of two non - zero even numbers is even and greater than the addends.