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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 ## inequalities ##### This topic has 1 member reply ## inequalities If x + y + z > 0, is z > 1? 1. z > x + y + 1 2. x + y + 1 < 0 Please explain! Legendary Member Joined 22 Jul 2008 Posted: 683 messages Followed by: 2 members Upvotes: 73 Given: x+y+z>0----equ 1 St 1: z>x+y+1 adding the two equations you get: x+y+2z>x+y+1 canceling x+y from both sides you get: 2z>1--->z>0.5-----INSUFF St 2: x+y+1<0-----equ 2 we need to change the less than sign to greater than in order to add it with equ 1 Hence multiply -1 in equ 2 which gives us---> -(x+y+1)>0 Now add this equ with equ 1 and we get ----> z-1>0 ie z>1 SUFF Hence B is the answer • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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