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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 ## If b < e < y+k and b-1 < w < k, then which of th tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ## If b < e < y+k and b-1 < w < k, then which of th If b < e < y+k and b-1 < w < k, then which of the following MUST be true? I. 2b-1 < w+e < y+2k II. 1 < e-w < y III. b < k+2 (A) I only (B) III only (C) I and II only (D) I and III only (E) II and III only The OA is the option D. Why II is not true? And, how can I show that III is true? I know how to prove that I is true. Experts, can you help me? Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Vjsesus12. Let's take a look at your question. We have the following inequality: $$bI is true.. Now we cannot subtract the inequalities, so II is not true. Let's consider the following counter-example: b = -10, e = -5, y = 0, k = 4 and w = 0. These values satisfy both of the given inequalities (b < e < y+k and b-1 < w < k), however, when we plug these values into statement II (1 < e-w < y), we get: 1 < -5 < 0, which is not true. Finally, from the first inequality we have$$b-1III is true. In conclusion the correct answer is D. I hope this explanation may help you. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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