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  4. 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

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Q. 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

AIEEEAIEEE 2012Mathematical Reasoning

Solution:

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