How do you solve #abs(x-1.8)=3.2#?

1 Answer
smendyka
Nov 15, 2017

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 - 1.8 = -3.2#

#x - 1.8 + color(red)(1.8) = -3.2 + color(red)(1.8)#

#x - 0 = -1.4#

#x = -1.4#

Solution 2:

#x - 1.8 = 3.2#

#x - 1.8 + color(red)(1.8) = 3.2 + color(red)(1.8)#

#x - 0 = 5.0#

#x = 5.0#

The Solutions Are: #x = {-1.4, 5.0}#

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