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

If Sunday is not holiday then Ram studies on holiday.

Sum
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Solution

Symbolic form of the given statement is
~ p → ~ q

∴ ~ p → ~ q ≡ ~ T → ~ T

≡ F → F

≡ T

Hence, truth value is T.

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

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