Question 444860
{{{x^2 + 8x + 15 > 0 }}}

{{{x^2 + 3x+ 5x + 15 > 0 }}}

{{{(x^2 + 3x)+ (5x + 15) > 0 }}}

{{{x(x + 3)+ 5(x + 3) > 0 }}}

{{{(x+ 5)(x + 3) > 0 }}}

solutions:

{{{(x+ 5) > 0 }}}...=>.....{{{x>-5}}}

{{{(x+ 3) > 0 }}}...=>.....{{{x>-3}}}

{{{ graph( 500, 500, -10, 5, -10, 10, x^2 + 3x+ 5x + 15) }}}

as you can see from the graph, parabola is above {{{x-axis}}} in this interval:

A. (-∞, -5) or (-3, ∞)