Select Letters to Represent the Simple Statements and Write Each $\mathrm { p } \leftrightarrow ( \sim \mathrm { q } \vee \mathrm { r } )$

Multiple Choice

Select letters to represent the simple statements and write each statement symbolically by using parentheses then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.
-The lights are on if and only if it is not midnight or it is wintertime.

A) $\mathrm { p } \leftrightarrow ( \sim \mathrm { q } \vee \mathrm { r } )$ ; biconditional
B) $( \mathrm { p } \leftrightarrow \sim \mathrm { q } ) \wedge \mathrm { r }$ ; conjunction
C) $( \mathrm { p } \leftrightarrow \sim \mathrm { q } ) \vee \mathrm { r }$ ; disjunction
D) $\mathrm { p } \leftrightarrow ( \sim \mathrm { q } \vee \mathrm { r } )$ ; conditional