Q. What is the solution of

?

Solution: X < -6, X > 4

Things are more clear on a graph but it doesn't work when I work it through.

My method gave me the solution:

X > -6, X > 4. What does it mean? What did I do wrong? What did I imply?

What I did:

1. Factored the polynomial

(x + 6)(x - 4) > 0

2. Divide each side by (x + 6)

(x - 4) > /frac {0}{x + 6}

3. x is greater than 4 to satisfy the equation.

(x - 4) > 0

4. To find the other constraint, I divide each side by (x - 4) which leaves me:

(x + 6 ) > 0

5. To satisfy the equation, x > -6

(-7 + 6 = -1)