Miscellaneous Exercise 1 | Q 4.17 | Page 33
Rewrite the following statement without using the connective ‘If ... then’.
If 10 − 3 = 7 then 10 × 3 ≠ 30.
Let p : 10 − 3 = 7
q : 10 × 3 ≠ 30
The given statement is p → q.
But p → q ≡ ~p ∨ q.
∴ The given statement can be written as
'10 - 3 ≠ 7 or 10 × 3 ≠ 30'.