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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