If x = 5 and y = -2,then what is the contrapo | vedclass

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Question

(A) Let $p, q, r$ be the statements such that $p: x = 5$,$q: y = -2$,and $r: x - 2y = 9$.The given statement is $(p \wedge q) \rightarrow r$.The contr

Vedclass · Accepted Answer

If $x - 2y 
eq 9$,then $x 
eq 5$ or $y 
eq -2$

Vedclass · Answer

(A) Let $p, q, r$ be the statements such that $p: x = 5$,$q: y = -2$,and $r: x - 2y = 9$.The given statement is $(p \wedge q) ightarrow r$.The contrapositive of a conditional statement $A ightarrow B$ is $\sim B ightarrow \sim A$.Here,the contrapositive is $\sim r ightarrow \sim (p \wedge q)$.By De Morgan's Law,$\sim (p \wedge q) \equiv \sim p \vee \sim q$.Thus,the contrapositive is $\sim r ightarrow (\sim p \vee \sim q)$,which translates to: If $x - 2y 
eq 9$,then $x 
eq 5$ or $y 
eq -2$.

If $x = 5$ and $y = -2$,then what is the contrapositive of the statement $x - 2y = 9$?

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