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Question
Rewrite the following statement without using the connective ‘If ... then’.
If it rains then the principal declares a holiday.
Solution
Let p : It rains.
q : The principal declares a holiday.
The given statement is p → q.
But p → q ≡ ~p ∨ q.
∴ The given statement can be written as ‘It does not rain or the principal declares a holiday’.
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