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Solving 2x>x+10>-x

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by cbenk121 » Thu Sep 24, 2009 1:07 pm
I'm not sure how to solve this multiple inequality. Here's what I'm thinking.

2x>x+10>-x
x>10>-2x (subtract x from both sides)
x>10 (If x is greater than 10, then -2x will be smaller than 10, so it's redundant).

The answer is x>10, so I worked backwards from the answer to determine how to work through the problem. Anyone have a general strategy of what to do when faced with a multiple inequality, assuming you're asked to solve for x?

Thanks!
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by sunnyjohn » Thu Sep 24, 2009 9:56 pm
Can u post the whole question?
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by cbenk121 » Fri Sep 25, 2009 10:46 am
It's not a real GMAT question, rather it's just an exercise in inequalities.

The question is "Solve each of the following inequalities for x". Then the prompt was

2x > x + 10 > -x

I want to know how to solve for x, in case a multiple inequality shows up in my practice questions or the test.
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