Question

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

Answer 1

x > -1 (Answer D)

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)