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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

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B

Either I will not become a teacher or I will not open a school

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C

Neither I will become a teacher nor I will open a school

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D

I will not become a teacher or I will open a school

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Solution

The correct option is A

I will become a teacher and I will not open a school


Explanation for the correct answer:

Let p denote the statement that ‘I will become a teacher’

Let q denote the statement that ‘I will open a school’

The given statement is that, ‘If I become a teacher, then I will open a school’

This statement can be written in Boolean format as pq

The negation of this statement can be written as,

~pqp~q

This statement can be written in word format again as,

‘I will become a teacher and I will not open a school’

Hence, option A is the correct answer.


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