Maharashtra State BoardHSC Commerce 12th Board Exam
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Write the negation of the following. If ∆ABC is not equilateral, then it is not equiangular. - Mathematics and Statistics

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Sum

Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.

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Solution

Let p : ∆ ABC is not equilateral.
q : ∆ ABC is not equiangular.

The given statement is p → q.

Its negation is ~(p → q) ≡ p ∧ ~ q

∴ The negation of given statement is '∆ ABC is not equilateral and it is equiangular'.

Concept: Logical Connective, Simple and Compound Statements
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.1 | Page 32
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