Write the absolute value equation representing all numbers x whose distance from 4 is 8 units.?

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Answer 1 · 2018-06-08T06:39:58

$abs(x-8)=4$
$x= {-4, 12}$

We are told that $x$ is the set of numbers such that the distance from $x$ to $4$ is $8$ - We'll assume $x in RR$

The distance of $x$ , positive or negative, from 4 can be expressed as $abs(x-4)$

Since this distance is equal to $8$ our equation is:

$abs(x-4) =8$

To solve for $x$ :

Either +(x-4) = 8 -> x=12#

Or -(x-4) = 8 -> x=-4#

Hence, set $x ={-4, 12}$