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.

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