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Mathematical Reasoning
hard
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$
(AIEEE-2012)
Solution
Let $p:$ The sun is shining
$q:$ I shall play tennis in the afternoon.
Negativon of $p \to q$ is $ \sim \left( {p \to q} \right) = p \wedge \sim q$
Standard 11
Mathematics
