Question

Let p and q denote the following statements p : The sun is shining q: I shall play tennis in the afternoon The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is

• A. $q \Rightarrow \sim p$
• B. $q \wedge \sim p$
• C. $p \wedge \sim q$
• D. $\sim q \Rightarrow\sim p$

Answer 1

Answer: (C)

$p \wedge \sim q$

Answer 2

Let p : The sun is shining. q : I shall play tennis in the afternoon. Negation of $p \to q$ is $\sim\left(p \to q\right) = p \wedge\sim q$