The truth table represents statements p, q, and r.

If p is false, which row represents when p V (qan) is true?

Solution:

q ∧ r : q and r

q r q∧r

T T T

T F F

F T F

F F F

p ∨ (q∧r)

p OR (q AND r)

p q∧r p∨ (q∧r)

F T∧ T=T T

F F∧T = F F

F T ∧ F=F F

F F ∧ F = F F

If P is false, The row which represents when p ∨ (q ∧ r) is true is →→F T T T

Which is Option E.