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.
-It is not true that if you take your vitamins you will stay healthy.
A) $\sim \mathrm { p } \rightarrow \mathrm { q }$; conditional
B) $\sim ( p \leftrightarrow q )$; negation
C) $\sim p \rightarrow ( \sim q )$; conditional
D) $\sim ( p \rightarrow q )$; negation

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.
-It is not true that if you take your vitamins you will stay healthy. 
A) $\sim \mathrm { p } \rightarrow \mathrm { q }$; conditional
B) $\sim ( p \leftrightarrow q )$; negation
C) $\sim p \rightarrow ( \sim q )$; conditional
D) $\sim ( p \rightarrow q )$; negation

Quizplus · Accepted Answer

The statement is a negation of a conditional statement, where $p$ represents "you take your vitamins" and $q$ represents "you will stay healthy". The correct symbolic representation is $\sim ( p \rightarrow q )$, indicating it is not true that if $p$ then $q$.

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

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