Question

Solve the polynomial inequality. Express the solution set in interval notation:

(-x - 4)/(x + 3) ≤ 0

Answer 1

Any ideas?

Answer 2

You should try drawing the graph of this function. Plot the asymptote(s) first and then from there consider whether your function will be negative (i.e. <= 0) to the left or right of your asymptote(s).

Answer 3

Is there really no other, simpler approach?

Answer 4

find critical points... i.e. points that result in zero or undefined.
\[\frac{-x-4}{x+3}=0\]-x-4 gives x=-4
x+3=0 gives x doesn't equal -3