First slide

Introduction to mathematical reasoning

Question

The negation of the statement "If I become teacher, then I will open a school."

Easy

A

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

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

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

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

Solution

Let $p : I$ become a teacher
$q : I$ will open a school.
The given statement is $p \to q \equiv (~ p) \lor q$

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