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

Question 154

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.
-If a number is divisible by 3 and the number is not divisible by 2 then the number is not divisible By 6.


A) p∧(∼q→∼r) \mathrm { p } \wedge ( \sim \mathrm { q } \rightarrow \sim \mathrm { r } ) ; conjunction
B) p∨(∼q→∼r) \mathrm { p } \vee ( \sim \mathrm { q } \rightarrow \sim \mathrm { r } ) ; disjunction
C) (p∧∼q) ↔(∼r) ( \mathrm { p } \wedge \sim \mathrm { q } ) \leftrightarrow ( \sim \mathrm { r } ) ; biconditional
D) (p∧∼q) →(∼r) ( \mathrm { p } \wedge \sim \mathrm { q } ) \rightarrow ( \sim \mathrm { r } ) ; conditional

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