Mathematical Reasoning
normal

The negation of the statement

''If I become a teacher, then I will open a school'', is

A

I will become a teacher and I will not open a school

B

Either I will not become a teacher or I will not open a school

C

Neither I will become a teacher nor I will open a school

D

I will not become a teacher or I will open a school

Solution

Let $P:$ $I$ become a teacher

$\mathrm{q}:$ $I$ will open a school

Negation of $p \rightarrow q$ is $\sim(p \rightarrow q)=p \wedge \sim q$

Standard 11
Mathematics

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