Rewrite the following statement without using the connective ‘If ... then’. If a quadrilateral is rhombus then it is not a square.

QUESTION

Miscellaneous Exercise 1 | Q 4.17 | Page 33

Rewrite the following statement without using the connective ‘If ... then’.

If a quadrilateral is rhombus then it is not a square.

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’.