Respuesta :

Step-by-step explanation:

x^2 + 4x + 8 = (x^2 + 4x + 4) + 4 = (x + 2)^2 + 4.

When x^2 + 4x + 8 > 5, this means (x + 2)^2 + 4 > 5.

So (x + 2)^2 > 1.

=> (x + 2) > 1 or (x + 2) < -1.

=> x > -1 or x < -3.