Question

If $p :$ It is snowing, $q :$ I am cold, then the compound statement "It is snowing and it is not that I am cold" is given by

• A. $p \wedge \left(\sim q\right)$
• B. $p \wedge q$
• C. $\left(\sim p\right) \wedge q$
• D. $\left(\sim p\right) \wedge (\sim q)$

Answer 1

Answer: (A)

$p \wedge \left(\sim q\right)$

Answer 2

Given, $p$ : It is snowing.
$q: I$ am cold.
$\therefore$ It is snowing and it is not that I and cold.
$\equiv p \wedge(\sim q)$