##### l4-xl = l x/2 7 l I have to solve the absolute value equation

label Algebra
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the lines are absolute value and the x is over the 2

Sep 11th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

There are three cases for this problem

You have to find the domain

|4-x| greater than or equal to zero

x> or equal 4

|x/2+7| great than or equal to zero

x/2>-7

x greater than or equal to 14

Case 1

|4-x|=|x/2+7|

2(4-x=x/2+7)

8-2x=x+14

-x=6

x=-6

Case 2

-|4-x|=|x/2+7|

2(-4+x=x/2+7)

-8+2x=x+14

x=22

This is not the domain

Case 3

-|4-x|=-|x/2+7|

2(-4+x=-x/2-7)

-8+2x=-x-14

3x=-6

x=-2

Therefore our points are -2, and -6.

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 11th, 2015

I'm sorry, I am slightly wrong. I did a check on my answer. Our points are x=-2, and 22

Sep 11th, 2015

Ignore the third case, and my reasoning why 22 is not in there. I logically thought that wrong slightly.

Sep 11th, 2015

I realized I am being really confusing. I am truly sorry. If you give me a moment. I will write it down, and put up a picture.

Sep 11th, 2015
Sep 11th, 2015

Just look at the document, I hope it's less confusing!

Sep 11th, 2015

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Sep 11th, 2015
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Sep 11th, 2015
Oct 24th, 2017
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