Question

The truth table represents statements p, q, and r. p q r A T T T B T T F C T F T D T F F E F T T F F T F G F F T H F F F Which statements are true for rows A and E? Check all that apply. p ↔ q p ↔ r q ↔ p q ↔ r r ↔ p r ↔ q

Answer 1

r--(pvq)

Explanation:

just did the review

Answer 2

The statements that are true for truth table rows A and E are:

p↔q

p↔r

q↔p

r↔q

r↔p

r↔q

To determine the truth values for the statements in rows A and E, let's look at the corresponding values of p, q, and r for each row:

Row A: p = T, q = T, r = T

Row E: p = F, q = T, r = T

Now, let's evaluate each statement:

p↔q (p if and only if q):

A: T ↔ T is True

E: F ↔ T is False

p↔r (p if and only if r):

A: T ↔ T is True

E: F ↔ T is False

q↔p (q if and only if p):

A: T ↔ T is True

E: T ↔ F is False

q↔r (q if and only if r):

A: T ↔ T is True

E: T ↔ T is True

r↔p (r if and only if p):

A: T ↔ T is True

E: T ↔ F is False

r↔q (r if and only if q):

A: T ↔ T is True

E: T ↔ T is True

So, the statements that are true for rows A and E are:

p↔q

p↔r

q↔p

r↔q

r↔p

r↔q