Question

How do you solve `x^2+5x+4>0`?

Answer 1

`color(green)(x > -1)` or `color(green)(x < -4)`

Explanation:

Factoring the given inequality:
`color(white)("XXX")(x+1)(x+4) > 0`

This inequality will be true
1. if both terms are greater than `0`
`color(white)("XXX")x > -1`

or
2. if both terms are less than `0`
`color(white)("XXX")x < -4`