Question

lf p, q are true statements and r, s are false statements, then find the truth value of ∼ (p ∧ ∼r) ∨ (∼q ∨ s).

Answer 1

∼ (p ∧ ∼r) ∨ (∼q ∨ s)

= ∼ (T ∧ ∼ F) ∨ (∼ T ∨ F)

= ∼ (T ∧ T) ∨ (F ∨ F)

= ∼ (T) ∨ F

= F ∨ F

= F

The truth value is F.