x² + 7x + 10 < 0
x² + 5x + 2x + 10 < 0
x *(x + 5) + 2*(x + 5) < 0
(x+5) * (x+2) < 0
[tex]\left \{ {{x+5 < 0} \atop {x+2 > 0}} \right. \\\left \{ {{x+5 > 0} \atop {x+2 < 0}} \right. \\\\\left \{ {{x < -5} \atop {x > -2}} \right. \\\left \{ {{x > -5} \atop {x < -2}} \right. \\\\[/tex]
x∈ <-5, -2>