Solve the nonlinear inequality. Express the solution using interval notation. (x − 5)(x − 2)(x + 1) > 0

Question

Solve the nonlinear inequality. Express the solution using interval notation.

(x − 5)(x − 2)(x + 1) > 0

Answer 1

By looking at the intervals where we have x-5>0, x-2>0 and x+1>0 we obtain that the answer is (-1,2) union (5,infinity).