Not excellent. This is very, very bad. What if x = -6? This just blew up! What if x < -6? You forgot to switch the inequality. Never do this. After factoring, you must think about what you are doing. Guessing will not do.2. Divide each side by (x + 6)
If a product is positive, what do you know about the factors?
1) Both are positive, or
2) Both are negative.
1) x > 4 both are positive.
2) x < -6 both are negative.
3) -6 < x < 4 one of each and the product is negative.