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Compute the exact value of the expression \(\left|\pi - | \pi - 7 | \right|\). Write your answer using only integers and pi, without any absolute value signs.

OkNietzsche  Nov 19, 2018
 #1
avatar+92785 
+1

Since 7  is greater than pi....the absolute value   of   pi - 7  =   7 - pi

 

So  we have

 

[ pi  - (7 - pi ) l   =

 

l  2pi - 7 l

 

And 2pi < 7   ...... so the absolute value =

 

7 - 2pi

 

 

cool cool cool

CPhill  Nov 19, 2018

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