Question

2|x-1|-4>2 absolute value equations or inequalities and graph the solution set on the number line

Answer 1

we have the following:

$2|x-1|-4>2$

solving:

$\begin{gathered} 2|x-1|-4+4>2+4 \\ \frac{2}{2}|x-1|>\frac{6}{2} \\ |x-1|>3 \\ x-1<-3\rightarrow x<-2 \\ x-1>3\rightarrow x>4 \end{gathered}$

The answer is:

$\begin{gathered} x<-2,(-\infty,-2) \\ x>4,(4,\infty) \end{gathered}$