goodyear2013 wrote:
Is |a| > |b|?
(1) b < -a
(2) a < 0
We need to determine whether |a| > |b|.
Statement One Alone:b < -a
We can rearrange the inequality in statement one to read:
b + a < 0
We do not have enough information to determine whether |a| > |b|.
For instance, if a = -3 and b = 2, |a| IS greater than |b|. However, if a = -1 and b = -2, |a| IS NOT greater than |b|. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.
Statement Two Alone:a < 0
Just knowing that a < 0 is not enough information to answer the question. Similar to statement one, if a = -3 and b = 2, |a| IS greater than |b|; however, if a = -1 and b = -2, |a| IS NOT greater than |b|. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.
Statements One and Two Together:From statements one and two we know that b + a < 0 and a < 0. However, we still do not have enough information to determine whether |a| > |b|. As mentioned above, if a = -3 and b = 2, |a| IS greater than |b|; however, if a = -1 and b = -2, |a| IS NOT greater than |b|.
Answer: E
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