How do you graph and solve $|x – 6| = 10$ ?

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Answer 1 · 2016-01-13T17:23:36

$x=16 or x=-4$

By definition and properties of absolute values, we may write this as

$(x-6)=10 or (x-6)=-10$

$therefore x=16 or x=-4$ .

This would hence be graphed as 2 parallel vertical lines, one running through $16$ on the x-axis and the other running through $-4$ on the x-axis.

How do you graph and solve |x – 6| = 10|x – 6| = 10?