How do you solve #|x+4|=6#?

1 Answer
smendyka
Aug 18, 2017

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 + 4 = -6#

#x + 4 - color(red)(4) = -6 - color(red)(4)#

#x + 0 = -10#

#x = -10#

Solution 2

#x + 4 = 6#

#x + 4 - color(red)(4) = 6 - color(red)(4)#

#x + 0 = 2#

#x = 2#

The Solutions Are: #x = -10# and #x = 2#

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