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Question
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'.
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