How do you solve #|x - 10| = 3#?

1 Answer
smendyka
Mar 10, 2018

See a solution process below:

Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution 1:

#x - 10 = -3#

#x - 10 + color(red)(10) = -3 + color(red)(10)#

#x - 0 = 7#

#x = 7#

Solution 2:

#x - 10 = 3#

#x - 10 + color(red)(10) = 3 + color(red)(10)#

#x - 0 = 13#

#x = 13#

The Solution Set Is: #x = {7, 13}#

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