9. Component i is said to be relevant to the system if for some state vector x, Otherwise, it is said to be irrelevant.

(a) Explain in words what it means for a component to be irrelevant.

(b) Let be the minimal path sets of a system, and let S denote the set of components. Show that if and only if all components are relevant.

(c) Let denote the minimal cut sets. Show that if and only if all components are relevant.