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

• Mathematical Reasoning

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

1. I will not become a teacher or I will open a school
2. Either I will not become a teacher or I will not open a school
3. Neither I will become a teacher nor I will open a school
4. I will become a teacher and I will not open a school

Answer

Let p: I will become a teacher.

Let q: I will open a school.

~(~p ∨ q) = p ∧ ~q

The correct option is D.