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Let p, q, r be three statements such that the truth value of ~(~p ∨ ~q) → (~q ∨ r) is F. Then the truth values of p, q, r are respectively:

Option 1 -

T, F, T

Option 2 -

T, T, T

Option 3 -

F, T, F

Option 4 -

T, T, F

0 2 Views | Posted 3 weeks ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    3 weeks ago
    Correct Option - 4


    Detailed Solution:

    ∼ ( ∼ p ∨ ∼ q ) → ( ∼ q ∨ r ) ⇒ p ∧ q → ∼ q ∨ r

    T F T ⇒ F → T → T

    F T T ⇒ F → T → T

    T T T ⇒ T → T → T

    T T F ⇒ T → F → F

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kindly consider the following Image 

 

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∼ ( p ⇔ ∼ q ) ∧ q = ( p ⇔ ∼ q ) ∧ q     i s :

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