If n ≠ 0, which of the following must be greater than n?
I. 2n
II. n^2
III. 2 - n
A. I only
B. II only
C. I and II only
D. II and III only
E. None
If n ≠ 0, then n can be positive, negative or fraction. If we can prove that the result is a smaller number then we can eliminate the answer choice.
I. 2n
Try negative -2, result is -4 which is less then 2n. Eliminate a and c.
II. n^2
If n=1/2 the result will be 1/4 which is less then n. Eliminate b and d.
III. 2 - n
E is the only choice left
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I. 2n
II. n^2
III. 2 - n
A. I only
B. II only
C. I and II only
D. II and III only
E. None
If n ≠ 0, then n can be positive, negative or fraction. If we can prove that the result is a smaller number then we can eliminate the answer choice.
I. 2n
Try negative -2, result is -4 which is less then 2n. Eliminate a and c.
II. n^2
If n=1/2 the result will be 1/4 which is less then n. Eliminate b and d.
III. 2 - n
E is the only choice left
...