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Question
Rewrite the following statement without using the connective ‘If ... then’.
If a quadrilateral is rhombus then it is not a square.
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Solution
Let p : A quadrilateral is rhombus.
q : A quadrilateral is not a square.
The given statement is p → q.
But p → q ≡ ~p ∨ q.
∴ The given statement can be written as ‘A quadrilateral is not a rhombus or it is not a square’.
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