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

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

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.

RELATED QUESTIONS
How come and forgive me for saying, Why are there not andy function solutions? I have... (answered by Mathtut)

Good day to all of the tuitors here. iam just hopeful that my math homework might be... (answered by jim_thompson5910)

X+3 X _________ - _____ = X 4 2 I have worked this problem for... (answered by Mathtut)

I have tried to work on this problem for about an hour. The problem is (v+16)^3/2 +7=32.... (answered by Seutip)

I looked over my notes several times, but I still have trouble setting up the problem and (answered by stanbon,bucky)

this question is not from the book even though i put in the imformation. its from a... (answered by stanbon)

How come and forgive me for saying, Why are there not andy function solutions? I have... (answered by nycsub_teacher)

Question #21 is Use the substitution method to solve the linear system. These are the... (answered by stanbon,chitra)

Hi, I would like to know how to convert a log value back to its normal value. I looked... (answered by richard1234)