What is the solution set for abs(x – 6) = 10?

1 Answer
Aug 8, 2015

{x : x \in \RR, x = –4, 16}

Explanation:

Consider that given every abs(x) = c, only two x's fit the bill: c or -c. Apply that principle here:

abs(x - 6) = 10
\Rightarrow x - 6 = 10 or x - 6 = –10
\Rightarrow x = 16 or x = –4

To express answer in set notation, we use curly brackets and set-builder notation:

{x : x \in \RR, x = –4, 16}