amanda29073 amanda29073
  • 03-10-2018
  • Mathematics
contestada

determine the truth value of the statement when p is T, q is F, and r is F
( p ↔ q ) → ( ∼ p ∨ r )

Respuesta :

ColinJacobus ColinJacobus
  • 03-10-2018

Given P is T, q is F and r is F.

Let us find p ↔ q first.

↔ is called bi-conditional operator and is true when p and q both are matched.

Since here p is T and q is F, p↔q is F. ( Since p and q are not matching)

~p v r = ~T v F = F v F = F

Hence (p↔q)→(~pvr) = F → F = T     (Since conditional operator → is false if and if first proposition is T and second proposition is F, for all other values it is T)

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