Final answer:
To identify all the critical points for the inequality < 0, the actual function is needed. Critical points are where the derivative equals zero. The quadratic formula can be used for quadratic equations to find potential critical points.
Step-by-step explanation:
The question is which set of values shows all the critical points for the inequality < 0. Critical points occur where the first derivative equals zero or does not exist, and they represent potential maxima, minima, or points of inflection on a graph. In order to determine the critical points for the given inequality, we need the function to which the inequality refers. Without the function, we cannot determine the critical points exactly. However, by definition, if the inequality is negative at x = 0, then x = 0 could be a local maximum, and if the second derivative is positive at x = +xQ, then those could be local minima representing stable equilibria.
When given a quadratic in the form ax2 + bx + c = 0, the quadratic formula x = (-b ± √(b2-4ac))/(2a) can be used to find the values for x where the function equals zero, which could help in locating critical points. This could involve evaluating for both the '+' and '-' signs in the numerator.