How do you solve $|x - 2| = 1$ ?

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Answer 1 · 2016-12-21T07:57:15

The solution is $x = 3$ or $x=1$

To clear the absolute-value bars, I must split the equation into its two possible two cases, one case for each sign:

$(x-2) = 1" "$ or $" "-(x-2) = 1$

$x = 1+2" "$ or $" " -x+2 = 1$

$x = 3" " " "$ or $" " " " x=2-1=1$

Then the solutions are $x = 3$ or $x= 1$

How do you solve |x - 2| = 1|x - 2| = 1?