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# Inequality question - pls solve this with exp.

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Manager
Joined: 12 Jun 2006
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Inequality question - pls solve this with exp. [#permalink]

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29 Jun 2006, 22:40
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Solve the following inequality for x:

2x > x+10 > -x
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Hema

Manager
Joined: 12 Apr 2006
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Location: India
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30 Jun 2006, 00:30
2x > x+10 > -x

3x > 2x+10 > 0

Solve you get x > 10
Director
Joined: 28 Dec 2005
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Re: Inequality question - pls solve this with exp. [#permalink]

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30 Jun 2006, 10:55
hemamalinidr wrote:
Solve the following inequality for x:

2x > x+10 > -x

2x > x+ 10 (1) and x+10 > -x (2)
Solving (1) we get:-

x> 10

Solving (2) we get 2x > -10 or x>-5.

Both 1 and 2 must be true at all times, i.e.

x>10 AND x>-5

=>x > 10
CEO
Joined: 20 Nov 2005
Posts: 2911
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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30 Jun 2006, 11:20
humans wrote:
2x > x+10 > -x

3x > 2x+10 > 0

Solve you get x > 10

BINGO!! Exactly the same way.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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