WE CAN REPHRASE THE QUESTION BY OPENING UP THE ABSOLUTE VALUE SIGN...
27. We can rephrase the question by opening up the absolute value
sign. There are two scenarios for the inequality |n| < 4.
If n > 0, the question becomes “Is n < 4?”
If n < 0, the question becomes: “Is n > -4?”
We can also combine the questions: “Is -4 < n < 4?” ( n is not
equal to 0)
(1) SUFFICIENT: The solution to this inequality is n > 4 (if n > 0) or
n < -4 (if n < 0). This provides us with enough information to
guarantee that n is definitely NOT between -4 and 4. Remember
that an absolute no is sufficient!
(2) INSUFFICIENT: We can multiply both sides of the inequality by
|n| since it is definitely positive. To solve the inequality |n| × n < 1,
let’s plug values. If we start with negative values, we see that n can
be any negative value since |n| × n will always be negative and
therefore less than 1. This is already enough to show that the
statement is insufficient because n may not be between -4 and 4.
The correct answer is A.