How do you solve $| x - 8 | = 3$ $abs(x-8)=3$ ?

Question

2146 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-13T08:41:18

As $| x - 8 | = 3$ $abs(x - 8) = 3$ , we can say that

$x - 8 = 3 or x - 8 = - 3$ $x-8 = 3 or x-8 = -3$

There will hence be two solutions for $x$ $x$

First solution:
$x - 8 = 3$ $x-8 = 3$
$x = 3 + 8$ $x = 3+8$ (Transposed -8 to the Right Hand Side)
$x = 11$ $color(green)(x=11$

Second solution
$x - 8 = - 3$ $x-8 = -3$
$x = - 3 + 8$ $x= -3 +8$ (Transposed -8 to the Right Hand Side)
$x = 5$ $color(green)(x = 5$

How do you solve |x−8|=3abs(x-8)=3?