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Mathematical Reasoning
easy
Negation of the conditional : “If it rains, I shall go to school” is
A
It rains and I shall go to school
B
It rains and I shall not go to school
C
It does not rains and I shall go to school
D
None of these
Solution
(b) $p$ : It rains,
$q$ : I shall go to school
Thus, we have $p \Rightarrow q$
Its negation is $\sim (p \Rightarrow q)$ i.e. $p\; \wedge \sim q$
$i.e.$ It rains and I shall not go to school.
Standard 11
Mathematics