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Help on a really simple question

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Re: Help on a really simple question

by Stuart@KaplanGMAT » Wed Mar 05, 2008 8:41 pm
Nidhs wrote:Im having a hard time figuring this really simple question

Solve the following inequality for x:
2x>x+10>-x
We treat multiple part inequalities the same as regular inequalities: whatever we do to 1 piece we have to do to the entire thing.

Here, we can subtract x from all 3 parts to get:

x > 10 > -2x

and that's really the best we can do.

So, while it's true that x > 10, that's not the ENTIRE answer to the question. If we just focus on the right side, we get:

10 > -2x

-5 < x

So, we have two rules:

x > 10 and x > -5. Since they're both ">", we take the more extreme limintation and end up simply with:

x > 10.
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by Nidhs » Wed Mar 05, 2008 8:51 pm
Thank you. So when do we need to test if an inequality is correct by substituting in the question stem?
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