How do you solve #abs[x-6] = 16#?

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How do you solve #abs[x-6] = 16#?

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Answer 1 · 2016-09-27T20:34:29

#x = 22 or x = - 10#

Explanation:

use the theorem #abs (w(x)) = a if and only if w(x) = a or w(x) = - a# by #a >=0#
thus
#x - 6 = 16 or x - 6 = - 16#
adding 6 to both sides of both equations we got
#x = 22 or x = - 10#

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How do you solve #abs[x-6] = 16#?

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