How do you solve #20= | r - 40|#?

1 Answer
smendyka
Mar 6, 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:

#-20 = r - 40#

#-20 + color(red)(40) = r - 40 + color(red)(40)#

#20 = r - 0#

#20 = r#

#r = 20#

Solution 2:

#20 = r - 40#

#20 + color(red)(40) = r - 40 + color(red)(40)#

#60 = r - 0#

#60 = r#

#r = 60#

The Solution Set Is:

#r = {20, 60}#

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