for what values of c does |2x+1|= x+c have two solutions?

Solving this problem by analyzing the graphs is the easiest way I can think of...
y=|2x+1|
y=x+c
these two graphs will not intersect for any value of c < 1/2 and at c=1/2 there is only 1 intersection. So we can see that the graphs will intersect at exactly two points for any value of c > 1/2