Solution Set

Last updated Nov 1, 2022

Let $S, R$ be a Sets, and let ${f_{\alpha}\in R^{S}}{\alpha \in A}$ and ${b{\alpha} \in R}{\alpha \in A}$ define an Equation System $$f{\alpha}(x)= b_{\alpha} \text{ }\forall \alpha \in A$$ for some Index Set $A$. The Solution Set of this Equation System is $${x \in S : f_{\alpha}(x) = b_{\alpha} \text{ }\forall \alpha \in A}.$$