SOLUTION: Will someone help with this? Determine the truth value of the statement when p is T, q is F, and r is F: (p ∨ q) ↔ (∼r ∧ p)

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Will someone help with this? Determine the truth value of the statement when p is T, q is F, and r is F: (p ∨ q) ↔ (∼r ∧ p)       Log On


   

Question 483261: Will someone help with this?
Determine the truth value of the statement when p is T, q is F, and r is F:
(p ∨ q) ↔ (∼r ∧ p)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(p ∨ q) ↔ (∼r ∧ p)


(T ∨ F) ↔ (∼F ∧ T)


(T ∨ F) ↔ (T ∧ T)


(T) ↔ (T ∧ T)


(T) ↔ (T)


T


So (p ∨ q) ↔ (∼r ∧ p) is T when p is T, q is F, and r is F.