Solve the inequality (x – (-6))(x – (3)) < 0.
Note
Start by finding the critical points, because these are the values where the product becomes zero. These points divide the number line into intervals. For a product of two first-degree factors with positive leading coefficient, the product is positive outside the two roots and negative between them. Here, The critical points are x=-6 and x=3. A product of two linear factors is positive outside the roots and negative between them. Therefore the solution is -6 < x < 3. Since the inequality is strict, the boundary points themselves are not included in the answer.
