Negation of the statement 'if it rains, I shall go to school' is Options: A . &nbsp It rains and I shall go to school B . &nbsp It rains and I shall not go to school C . &nbsp It does not rain and I shall go to school D . &nbsp It does not rain and I shall not go to school

Answer: Option B : B p: It rains q: I shall go to school p ⇒ q : If it rains, I shall go to school ∼ ( p ⇒ q ) = p ∧ ∼ q p ∧ ∼ q : It rains and I shall not go to school

Negation of the statement 'if it rains, I shall go to school' is

Discussion Forum : Mathematical Reasoning

Question -

Negation of the statement 'if it rains, I shall go to school' is

Options:

A . It rains and I shall go to school

B . It rains and I shall not go to school

C . It does not rain and I shall go to school

D . It does not rain and I shall not go to school

Answer: Option B
:
B

p: It rains
q: I shall go to school
$p \Rightarrow q :$ If it rains, I shall go to school
$\sim (p \Rightarrow q) = p \land \sim q p \land \sim q : It rains and I shall not go to school$

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Discussion Forum : Mathematical Reasoning

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