Question

Let $p\equiv$ "It snows today", $q\equiv$ "Roads will not be filled with snow." and $r\equiv$ "There might be a traffic jam."
What can be concluded from "If it is snowing today then roads will be filled with snow and there might be a traffic jam."

• A. $p\Rightarrow (\sim q\vee r)$
• B. $p\Rightarrow (\sim q\wedge r)$
• C. $p\Rightarrow (\sim q\vee \sim r)$
• D. $p\Rightarrow (\sim q\wedge r)$

Answer 1

The correct option is D $p\Rightarrow (\sim q\wedge r)$

"If it is snowing today then roads will be filled with snow and there might be a traffic jam."
can be written as $p\Rightarrow (\sim q\wedge r)$