Posted by day on Friday, October 26, 2012 at 12:34pm.
I don't know what method you have learned , but this is the way I used to teach these
first of all , simplify it
-y + 1 > -|x+3|
|x+3| > y-1
x+3 > y-1 OR -x-3 > y-1
x+4 > y OR -x - 2 > y
y < x+4 OR y < -x - 2
draw a dotted line for y = x+4, shade in the region below it
draw a dotted line for y + -x + 2, and shade in the region below it
the graph you want consists of any of the region you have shaded.
The vertex would be the point where the two dotted lines intersect , I got (-1,3)
just noted that what I called dotted, you called broken, no big deal.
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