Question 1004465
You did not say what you want with the statement.


Try this way:
{{{y<abs(x-1)-7}}}
This has one critical x value, x=1.


x-1 POSITIVE OR 0,
{{{y<x-1-7}}}
{{{y<x-8}}}


x-1 NEGATIVE,
{{{y<-(x-1)-7}}}
{{{y<-x+1-7}}}
{{{y<-x-6}}}


You would indicate on the graph where the two regions are.  Be reminded, you put together the region to the left of x=1 and to the right of and including x=1.  


The red shaded region shows the solution area
{{{graph(300,300,-10,10,-10,10,abs(x-1)>y+7)}}}