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.
-If people drive small cars then people will use less fuel and the ozone hole will not expand.
A) $\mathrm { p } \rightarrow ( \mathrm { q } \vee \sim \mathrm { r } )$; conditional
B) $\mathrm { p } \rightarrow ( \mathrm { q } \wedge \sim \mathrm { r } )$; conditional
C) $( p \rightarrow q ) \vee \sim r$; disjunction
D) $( \mathrm { p } \rightarrow \mathrm { q } ) \wedge \sim \mathrm { r } ;$ conjunction

Question

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.
-If people drive small cars then people will use less fuel and the ozone hole will not expand. 
A) $\mathrm { p } \rightarrow ( \mathrm { q } \vee \sim \mathrm { r } )$; conditional
B) $\mathrm { p } \rightarrow ( \mathrm { q } \wedge \sim \mathrm { r } )$; conditional
C) $( p \rightarrow q ) \vee \sim r$; disjunction
D) $( \mathrm { p } \rightarrow \mathrm { q } ) \wedge \sim \mathrm { r } ;$ conjunction

Quizplus · Accepted Answer

The correct symbolic representation is $ p \rightarrow ( q \wedge \sim r ) $, which is a conditional statement. It correctly translates to "If people drive small cars (p) then people will use less fuel (q) and the ozone hole will not expand (\sim r)."

Select Letters to Represent the Simple Statements and Write Each p→(q∨∼r)\mathrm { p } \rightarrow ( \mathrm { q } \vee \sim \mathrm { r } )p→(q∨∼r)

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