Hey everyone, I was wondering if I solved this correctly, and if not, could someone correct my error of thinking? I got the question right, but am not sure if it was a lucky guess:
If m and n are consecutive positive integers, is m greater than n?
(1) m-1 and n+1 are consecutive positive integers.
(2) m is an even integer.
So I started out by writing down the inequality of m>n that is in the question stem.
So for (1) I replaced m>n with m-1>n+1 and rearranged to m>n+2. So I thought to myself that since m was greater than n, it has to be sufficient.
Then I looked at (2) and saw that m being an even integer really did not help anything out so I said insufficient.
Now, I don't see how m>n+2 would be consecutive positive integers so I feel that I got the question correct by guessing.
If I am wrong, could someone show me how to reason this problem out? Thanks!
If m and n are consecutive positive integers, is m greater than n?
(1) m-1 and n+1 are consecutive positive integers.
(2) m is an even integer.
So I started out by writing down the inequality of m>n that is in the question stem.
So for (1) I replaced m>n with m-1>n+1 and rearranged to m>n+2. So I thought to myself that since m was greater than n, it has to be sufficient.
Then I looked at (2) and saw that m being an even integer really did not help anything out so I said insufficient.
Now, I don't see how m>n+2 would be consecutive positive integers so I feel that I got the question correct by guessing.
If I am wrong, could someone show me how to reason this problem out? Thanks!
