00:01
So here the statement given is, the statement given was or the statement to prove is if 5n minus 7 is even then n is 4.
00:12
So the statement given is, i'm just writing that statement that has to be proven is if 5n minus 7 is even, then n is owed.
00:32
So, here it is a if then statement.
00:38
That means if we have a statement that is p implies q.
00:43
This means if p then q and contra positive.
00:53
We are asked to find to prove the statement with contrapositive.
00:55
So contrapositive of p implies q means negation q implies negation p that is contrapositive of p implies q will be if not q then not b this will be the statement now we had the statement if 5 and minus 7 is even then n is owed then the contra positive of this statement contra positive of given statement will be so the contra post of the given statement we can write if n is not owed which means if n is even so we just to make the negation of the second statement.
02:00
That is if n is even, then 5n minus 7.
02:07
Here it was given as even.
02:09
So just the reverse of that we have to take.
02:11
Then 5n minus 7 is 4.
02:15
So if we have to prove this statement, if we have to prove this statement by contra positive, we have to prove this particular statement over here.
02:24
So let's prove this particular statement...