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ExamsJEE MainMaths

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

  1. I will become a teacher and I will not 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 not become a teacher or I will open a school.

Correct answer: I will become a teacher and I will not open a school.

Solution

The statement is p -> q ('teacher' -> 'open school'). Its negation is p AND (~q): 'I will become a teacher and I will not open a school.'

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