Hello Students,

I would like to do the discussion a little differently. When you have a problem like this, use numbers to prove by showing the work to prove your case. I would try positive numbers, negative numbers, a mix of both, 1s and 0s to find one instance of it being true before you say it is false. When it is true AND false, then it would be "sometimes" or "depends" and explain the situation. This statement can be made using numbers to be both true AND false.
Here is how this will be scored:
Please give an example for a and b that would make a false statement and show your work. (worth 4pts)
Please give an example for a and b that would make a true statement and show your work. (worth 4pts)
Reply in a meaningful manner to 1 other student's post (worth 4pt)
Work must be shown from start to finish. Giving 2 numbers and their answers will not be full credit.
Note: DO NOT use any set of numbers that is the same as any other example. You will not receive any points.
Ask your teacher if you have any questions and remember, read the feedback because you can do this again if you don't receive full credit. Be patient if you are the 1st person. It's great you were here first, but you will have to wait to reply
Kindest regards,
Ms Martin

Hello Students,

Let's start the discussion with the statement "The sum of two even numbers is always even."

Example of False Statement:
Let a = 2 (even) and b = 4 (even)
a + b = 2 + 4
2 + 4 = 6
6 is even, so the statement is true.

Example of True Statement:
Let a = -2 (even) and b = 8 (even)
a + b = -2 + 8
-2 + 8 = 6
6 is even, so the statement is true.

Now, I would like to see your examples and calculations. Don't forget to explain your reasoning.

Best,
Ms. Martin