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Rewrite the following statement without using the connective ‘If ... then’. If 10 − 3 = 7 then 10 × 3 30. - Mathematics and Statistics

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Question

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

If 10 − 3 = 7 then 10 × 3 ≠ 30.

Sum
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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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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 33]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.17 | Page 33

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