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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Is |a| > |b|? tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Is |a| > |b|? Is |a| > |b|? (1) 1/(a - b) > 1/(b - a) (2) a + b < 0 The OA is the option C. I don't know how to solve this DS question. How can I, using both statements, obtain a solution? Experts, can you give me some help? ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 VJesus12 wrote: Is |a| > |b|? (1) 1/(a - b) > 1/(b - a) (2) a + b < 0 The OA is the option C. I don't know how to solve this DS question. How can I, using both statements, obtain a solution? Experts, can you give me some help? Statement 1: note that if a -b> 0 then b -a < 0, and vice versa. So if 1/(a-b) > 1/(b-a) that tell us that a -b > 0, and a > b. Case 1: a = 2 and b = 1. The answer is YES |2| > |1| Case 2: a = -1 and b = -2. The answer is NO |-1| is not greater than |-2| Not sufficient Statement 2: rephrase: a < -b Now we can reuse Case 2, a = -1 and b = -2, to get a NO Case 3: a = -3 b = -2. The answer is YES |-3| > |-2|. Not sufficient Together, we know that a > b and that a < -b. This means that b is going to have be negative. (If b were positive, and 'a' were larger, a would also be positive. There's no way that this positive 'a' could be smaller than - b, which would be a negative value.) Say b = -2. Now we know that a > -2 and a < 2, or -2 If b = -5, then a > -5 and a < 5, or -5C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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