Rewrite the following statement without using the connective ‘If ... then’. If it rains then the principal declares a holiday.

QUESTION

Miscellaneous Exercise 1 | Q 4.17 | Page 33

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’.