Using a Truth table, determine the value of the compound proposition ((𝑝 ∨ 𝑞) ∧ (￢𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟).

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

First, remember the truth tables for basic logical operations :

Before constructing a truth table for the specified expression, we will define a sequence of logical operations. We will denote by numbers from above operations.

$\left(\left(p\lor^{(1)} q\right)\land^{(4)}\left(\neg p\lor^{(2)} r\right)\right)\longrightarrow^{(5)}\left(q\lor^{(3)} r\right)$

Now we can construct a truth table for the specified expression.

Q.E.D.

Using a Truth table, determine the value of the compound proposition ((𝑝 ∨ 𝑞) ∧ (￢𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟).

Here's the Solution to this Question

Related Answers

Was this answer helpful?

Join our Community to stay in the know

Question ID: mtid-5-stid-8-sqid-3166-qpid-1865