SOLUTION: {{{2x > x + 10 > -x}}} I have looked all over the internet for the answer to 'how' this kind of problem is solved. I read in the book that the answer is x

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Question 48673:
I have looked all over the internet for the answer to 'how' this kind of problem is solved. I read in the book that the answer is x > 10, but why?
Thanks
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
2x > x + 10 > -x has 2 parts:

we need to work out and then also .

So,

And

which is just re-written... be careful with that inequality sign.

This becomes

So the answers are "x has to be greater than -5" but also, the first one says "x has to be greater than 10"

We cannot have both these answers since x=2 for example does not satisfy "x>10". So the one answer we are allowed to have is x>10 since anything greater than 10 satisfies both parts of the question.

jon.

SOLUTION: {{{2x > x + 10 > -x}}} I have looked all over the internet for the answer to 'how' this kind of problem is solved. I read in the book that the answer is x > 10, but why? Than