Question 1207366
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Rewrite each of the following statements using absolute value notation: 


(a) The distance between 12 and 5 is 17.


I say |12 - 5| = 17. 



(b) The distance between x and 2 is 4. 


I say |x - 2|= 2.



(c) The distance between x and 2 is less than 4. 


I say |x - 2| < 4.


You say?



(d) The number t is more than five units from the origin.

I am having trouble setting up part (d). 
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This post reminds me of the funeral carriage races.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Your &nbsp;(a) &nbsp;is fatally incorrect.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Your &nbsp;(b) &nbsp;is fatally incorrect, &nbsp;too.



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<U>Comment from student</U>: The textbook tells me my answer for (b) is right. 
The textbook tells me that (a) should be |12-(-5)| = 17 or |-5-12| = 17. Is the late David Cohen wrong?



<U>My response</U> : &nbsp;&nbsp;Regarding your comment, &nbsp;&nbsp;|12-(-5)| = 17 &nbsp;or &nbsp;|-5-12| = 17 &nbsp;is correct.


But in your post, &nbsp;something radically different is written. &nbsp;Namely, &nbsp;it is written


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;|12 - 5| = 17


which is &nbsp;TOTALLY &nbsp;DIFFERENT &nbsp;and &nbsp;ABSOLUTELY &nbsp;WRONG.



I never read from the late &nbsp;David &nbsp;Cohen; &nbsp;&nbsp;instead, &nbsp;I read from your post.


Accordingly, my notes do not relate to &nbsp;David &nbsp;Cohen - they do relate to your post and your writing, &nbsp;EXCLUSIVELY.



Do not mix obvious things - and even do not try to argue with me in that style . . . 
Do not even try to apply and/or to develop demagogy here.