how can i simplify this equation further?

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crossingfingers: Junior | Next Rank: 30 Posts; Posts: 23; Joined: Wed Apr 18, 2007 7:09 am; Thanked: 1 times

by crossingfingers » Tue Mar 17, 2009 5:15 am

1/5 < 1/(x+1) < 1/2

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Source: Beat The GMAT — Data Sufficiency | Tue Mar 17, 2009 5:15 am

scoobydooby: Legendary Member; Posts: 1035; Joined: Wed Aug 27, 2008 10:56 pm; Thanked: 104 times; Followed by:1 members

by scoobydooby » Tue Mar 17, 2009 5:25 am

1/5 < 1/(x+1) < 1/2

=5>(x+1)>2 (flip signs for reciprocals)
=5-1>x>2-1 (subtract 1 throughout)
=4>x>1

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