You can
put this solution on YOUR website!the graph of y=|x+4| looks like:
it is just the graph of y = x+4 except where we have negative y-values...here the line is reflected back...the line is essentially y=-(x+4)
So, look at the V-shaped line. We need to know where this is less than 6... draw a horizontal line at y=6 and you get the answers:
OK, algebraically, we have in essence 2 equations to compare with y=6.
1. x+4<6
--> x < 2 is one answer (which matches with the graph)
2. -(x+4) < 6
--> -x - 4 < 6
--> -x < 10
--> x > -10 is the other answer (which matches with the graph too).
jon.
