Eduprobe
Question:
The negation of the statement: "If I become a teacher, then I will open a school" is
Neither I will become a teacher nor I will open a school.
I will become a teacher and I will not open a school.
I will not become a teacher or I will open a school.
Either I will not become a teacher or I will not open a school.
Solution:
Let
p: I become a teacher
q: I will open a school
The given statement is p → q.
The negation of p → q is p ∧ ¬q.
In words, this is "I will become a teacher and I will not open a school."
Therefore, the correct answer is B. I will become a teacher and I will not open a school.