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Question

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

  1. I will become a teacher and 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.    

The correct answer is: I will become a teacher and and I will not open a school.


    Let p: I become a teacher q : I will open a school Negation of p rightwards arrow q is tilde operator left parenthesis p rightwards arrow q right parenthesis equals p logical and tilde operator q
    i.e I will become a teacher and I will not open a school.

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