For all your graphing needs: www.desmos.com/calculator This calculator works really well and sometimes seeing how something is graphed physically and comparing the graph to the equation helps more than an explanation.
basically graph y=x+4 wherever the line goes under the x axis, reflect that part across the x axis to make it positive now find which part to shade (0,0) is an option so shade down
so
find where it equals 0 or where it tursn negative at x=-4
so graph y<x+4 from x=-4 to x=infinity grahp y<-x-4 from x=negative infinity to -4
