since 3n+2 is even so is 3n
how is 3n even?? and how is 3n+2 even?
if we add subtract an odd number from an even number ,we get an odd number so 3n - 2 = 2n is odd??? i don't get this at all
then it follows that but this is obviously not true, there fore our supposition was wrong, and the proof by contradiction is complete.
i'm so lost i don;t understand what is being said and it is getting really frustrating please help me understand this in English.
the question is asking me to prove that if n is an integer and 3n+2 is even, then n is even using contradiction.
i just posted another thread about how i don't understand what contradiction is and iv been trying a few days now to understand what it is and wanted to do it on my own but its just breaking me down and i just don't understand what contradiction is.
In a proof by contridiction you take the orignal claim is even and negate it. Then show that leads to a contridiction. You can then imply the opposite is true.
Here's some examples Proof by contradiction - Wikipedia, the free encyclopedia
In this particular proof for is even given is even you just need to use some simple logic.
You are told is even so start with , now and you are finished.