How do you solve #abs(3-x )= 6#?

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Answer 1 · 2016-03-05T03:36:05

In absolute value equations, there are two scenarios that you must consider and therefore there will be two solutions

Scenario 1: The absolute value is positive:

#3 - x = 6#

#-x = 3#

#x = -3#

Scenario 2: The absolute value is negative:

#-(3 - x) = 6#

#-3 + x = 6

#x = 9#

Always check your solutions in the original equation. Both solutions work, so the solution set is #{x = -3,9}#

Hopefully this helps.