Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The Truth Table Represents Statement P,Q,R

Which statement is true for rows A, C and E

R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p

The Truth Table Represents Statement PQR Which Statement Is True For Rows A C And E Rgt Pq Rgtp V Q Qrgtp Q V R Gtp class=

Sagot :

LammettHash

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.