Question 317169
Plot {{{y=-abs(x)}}}
{{{ graph( 300, 300, -10, 10, -10, 10, -abs(x)) }}} 
Pick a point that's not on the line and test the inequality.
If the point solves the inequality, it's in the solution region. 
If it doesn't it's not.
Let's pick A=(3,3).
{{{ drawing( 300, 300, -10, 10, -10, 10, locate(3.5,3.5,A),circle(3,3,0.15),graph( 300, 300, -10, 10, -10, 10, -abs(x))) }}} 
Now test the inequality with point A,
{{{3<-abs(3)}}}
{{{3<-3}}}
False, so point A is not in the solution region.
Shade the other region.
*[invoke plot_any_inequality "y < -abs(x)", -10, 10, -10, 10, 300, 300]