Solve the inequality...
x^2 + 6x + 5 > 0
(x+5)(x+1) > 0
critical values are x = -5 and x = -1
values of x < -5 make the inequality true.
values of x between and including x = -1 and x = -5 make the inequality false.
values of x > -1 make the inequality true.
alternatively, think about the graph of y = (x+5)(x+1) ... for what values of x is the value of y > 0 ?