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Write the truth value of the following statement. The Himalayas are the highest mountains but they are part of India in the North East.

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Question

Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.

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Solution

Let p : Himalayas are the highest mountains.

q : Himalayas are the part of India in the north east.

The truth values of p and q are T and T respectively.

The given statement in symbolic form is p ∧ q.

∴ p ∧ q ≡ T ∧ T ≡ T

∴ Truth value of the given statement is T.

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Chapter 1: Mathematical Logic - Exercise 1.2 [Page 6]

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