1) 
2) 
m =
m
=
1)
| |
 |
Sufficient |
 |
Insufficient |
|
|
2)
| |
|
Sufficient |
|
Insufficient |
|
|
For this statement, we don’t need to go through the steps because we
recognize the expression on the right side of the equation as a "classic"
algebraic identity: 
.
So, in this case, 
. Once
again, we have confirmation that n = m – 1 (which is the
same as m = n + 1). Statement 2 is also sufficient.
This question wasn’t nearly as difficult as it first appeared, once we
saw the steps we needed to take in order to reach our goal. The fastest
way to get there was to look for an algebraic way to determine the relationship
between n and m. We also could’ve picked numbers, though
in a situation like this you have to be sure not to spend too much time
trying out various pairs of consecutive integers.
Next to display next topic in the chapter.
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