Determine whether statements are true or false.

[marscey]

You asked a friend some questions, and these were her responses:

(1) a meal (breakfast, lunch, etc.): lunch
(2) a restaurant: Subway
(3) another restaurant: Pizza Hut
(4) a positive number: 2
(5) her favorite food: pizza

Now, use your friend’s responses above to complete the statements I - III below. Ask your friend whether each of the statements is true or false.

I. “Yesterday, I ate (1) at (3).” (T/F)
II. “The last time I ate out my bill was less than $ (4).” (T/F)
III. “You can order my favorite food of (5)at (2).” (T/F)

Let p = I, q = II, and r = III. Use the truth values of the three statements to determine the truth values of the following compound statements. Show your work. (You should use a separate piece of paper for this portion.)

(a) (∼ p → r) ∨ [(q ∧ r) → p]
(b) [r ∨ (q → r)] → [∼ (p ∨ q)(c)
(c)(r →∼ p)∧ ∼ [p →∼ (q ∨ r)]
(d) ∼ [∼ (p ∨ q) →∼ (r ∧ q)]

please help me with this assignment, i dont seem to figure out how to do it..

 

[stapel]

You asked a friend some questions, and these were her responses:

(1) a meal (breakfast, lunch, etc.): lunch
(2) a restaurant: Subway
(3) another restaurant: Pizza Hut
(4) a positive number: 2
(5) her favorite food: pizza

Now, use your friend’s responses above to complete the statements I - III below. Ask your friend whether each of the statements is true or false.

I. “Yesterday, I ate (1) at (3).” (T/F)
II. “The last time I ate out my bill was less than $ (4).” (T/F)
III. “You can order my favorite food of (5)at (2).” (T/F)

Let p = I, q = II, and r = III. Use the truth values of the three statements to determine the truth values of the following compound statements. Show your work. (You should use a separate piece of paper for this portion.)

(a) (∼ p → r) ∨ [(q ∧ r) → p]
(b) [r ∨ (q → r)] → [∼ (p ∨ q)(c)
(c)(r →∼ p)∧ ∼ [p →∼ (q ∨ r)]
(d) ∼ [∼ (p ∨ q) →∼ (r ∧ q)]

please help me with this assignment, i dont seem to figure out how to do it..

The first step was asking your friend for the truth-values of the statements. Did she each lunch at Pizza Hunt? And so forth. What answers did you get?