We're learning about domains and setbuilder notation in school at the moment, and I want to make sure what I did was right.
My thought process: \begin{align*} -\frac12|4x - 8| - 1 &< -1 \\ -\frac12|4x - 8| &< 0 \\ |4x - 8| &> 0 \end{align*} $x =$ all real numbers.
{real numbers} :
<||||||||||[0]|||||||||>
{x| x is any real number}
{whole numbers}
... <----[-2]---[-1]---[0]---[1]---[2]---> ...
{x|...-2,-1,0,1,2...}