Which graph represents the solution set for the quadratic inequality x^2+2x+1>0?

x > -1  (Answer D)

Step-by-step explanation:

Note that x^2 + 2x + 1 > 0 is equivalent to (x + 1)^2 > 0.  This has two solutions:  {-1, -1} (two real, equal roots).  The solution set includes all real numbers such that x > -1  (Answer D)