Step 1: Recall lung volume definitions.
\begin{itemize}
\item Tidal Volume (TV): Volume of air inhaled/exhaled during normal breathing.
\item Inspiratory Reserve Volume (IRV): Extra volume inhaled after normal inspiration.
\item Expiratory Reserve Volume (ERV): Extra volume exhaled after normal expiration.
\item Residual Volume (RV): Volume left after maximal expiration.
\end{itemize}
From these we define:
\[
\text{Vital Capacity (VC)} = TV + IRV + ERV
\]
\[
\text{Inspiratory Capacity (IC)} = TV + IRV
\]
\[
\text{Functional Residual Capacity (FRC)} = ERV + RV
\]
\[
\text{Total Lung Capacity (TLC)} = VC + RV
\]
Step 2: Verify each option.
- (A) \(VC - ERV = (TV + IRV + ERV) - ERV = TV + IRV = IC\). True.
- (B) \(VC + ERV = (TV + IRV + ERV) + ERV = TV + IRV + 2ERV \neq IC\). False.
- (C) \(TLC = VC + RV\). Also, \(IC + FRC = (TV+IRV) + (ERV+RV) = TV + IRV + ERV + RV = VC + RV = TLC\). True.
- (D) FRC is the sum \(ERV + RV\), not the difference. False.
Final Answer: (A) and (C)