Rewrite the following statement without using the connective ‘If ... then’. If 10 − 3 = 7 then 10 × 3 ≠ 30.

QUESTION

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.

SOLUTION

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'.