First slide

Introduction to mathematical reasoning

Question

The negation of the statement “If I become a teacher, then I will open a school”, is :

Moderate

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

$Let P : I become a teacher a n d Q : I will open a school$
$\begin{array}{l} Negation of p \to q is ~ (p \to q) = p \land ~ q \\ ∴ I will became a teacher and I will not open a school \end{array}$

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