How do you solve $∣ ∣ ∣ x - \frac{1}{2} ∣ ∣ ∣ = 9$ $|x - 1/2| = 9$ ?

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Answer 1 · 2016-07-10T01:17:04

$x = 9.5$ $x=9.5$ OR $x = - 8.5$ $x=-8.5$

The absolute will convert a negative value into an equal positive value so
$x - \frac{1}{2} = 9$ $x-1/2=9$ OR $x - \frac{1}{2} = - 9$ $x-1/2=-9$

$x = 9 + \frac{1}{2}$ $x=9+1/2$ OR $x = - 9 + \frac{1}{2}$ $x=-9+1/2$

$x = 9.5$ $x=9.5$ OR $x = - 8.5$ $x=-8.5$

How do you solve |x - 1/2| = 9∣∣∣x−12∣∣∣=9 |x - 1/2| = 9?