Question

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

p q r q ∧ r
A T T T T
B T T F F
C T F T F
D T F F F
E F T T T
F F T F F
G F F T F
H F F F F
If p is false, which row represents when p ∨ (q ∧ r) is true?

E
F
G
H

Answer 1

E

Since p is false, p ∨ (q ∧ r) is true exactly when q ∧ r is true. Among E–H only row E has q ∧ r = T.