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p : Sunday is holiday, q : Ram does not study on holiday, find the truth values of the following statements. Sunday is a holiday and Ram studies on holiday.

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Question

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.

Sum
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Solution

Symbolic form of the given statement is p ∧ ~ q

∴ p ∧ ~ q ≡ T ∧ ~ T

≡ T ∧ F

≡ F

Hence, truth value is F.

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Chapter 1: Mathematical Logic - Exercise 1.4 [Page 11]

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