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For \(y = \Big| \big| \small| x - 5 \small| + 5 \big| - 5 \Big| + 5\), what is the smalelst possible value of y?

 Jun 12, 2020
 #1
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|x-5| >=0 for all values of x, so

 

| |x-5| + 5| >= 5 for all values of x, so

 

| | |x-5| + 5| - 5| >= 0 for all values of x. so

 

| | |x-5| + 5| - 5| + 5 >= 5 for all values of x, so minimum value = 5, when x = 5.

 Jun 13, 2020

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