Answer
The given statements are not equivalent.
Work Step by Step
Use the following representations to determine the symbolic form of the provided statements.
p: you file
q: you provide fraudulent information
r: you will prosecuted
For given statement (a),
The symbolic form of representation:\[\sim p\vee q\to r\].
For given statement (b),
The symbolic form of representation:\[\left( p\wedge \sim q \right)\to \sim r\].
For given statement (c),
The symbolic form of representation:\[\sim r\to \left( p\vee \sim q \right)\].