Question

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

p q r p ∧ q p ∧ r
A T T T T T
B T T F T F
C T F T F T
D T F F F F
E F T T F F
F F T F F F
G F F T F F
H F F F F F
Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?

A and B
A, B, and C
B and E

Answer 1

(A ∧ Q) ∨ (p ∧ r) is true whenever either p ∧ q or p ∧ r is true. From the table those are rows A (T,T), B (T,F), and C (F,T).

So: A, B, and C.