Verified Solution • 2025–26 Session moderate

QJEEM12Mabd95: JEE Main 2012 Mathematics - Class 11 JEEM12Mabd95 Solution: The negation of the statement “If I become a teacher, then I…

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

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

Let, p : I become a teacher

q : I will open a school

∴\therefore "If I become a teacher, then I will open a school", is p →\to q

So, negation of (p→q)=∼(p→q)=p∧∼q(p \to q) = \sim (p \to q) = p \wedge \sim q = I will become a teacher and I will not open a school

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