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.

Let $p:$ I become a teacher

$q:$ I will open a school

The given statement is $p\to q=(\sim p)\vee q$

It negation is $(\left(\text{~ p}\right)\vee q)=p\wedge \left(\text{~ q}\right)$

Thus negation of the given statement is 'I will become a teacher and I will not open school'.