Question

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

Answer 1

The correct option is A I will become a teacher and I will not open a school

Suppose,
$p$ : I become a teacher
$q$ : I will open a school
Given : If $p$ then $q$
i.e, $p\to q$
Negation is given by
$\neg (p\to q)$
$p\wedge \neg q$
I will become a teacher and I will not open a school.