Answer
The statements (a) and (b) are equivalents.
Work Step by Step
By using the following representation,
\[\begin{align}
& p:\text{ Im leaving} \\
& q:\text{ Tom is relieved} \\
& r:\text{ Sue is relieved}
\end{align}\]
The symbolic representation of the provided statements is
(a)I’m leaving, and Tom is relieved or Sue is relieved: \[p\wedge \left( q\vee r \right)\].
(b)I’m leaving, and it is false that Tom and Sue are not relieved: \[p\wedge \sim \left( \sim q\wedge \sim r \right)\].
(c)If I’m leaving, then Tom is relieved or Sue is relieved: \[p\to \left( q\vee r \right)\].
