**Using a Truth table, determine the value of the compound proposition ((π β¨ π) β§ (οΏ’π β¨ π)) β (π β¨ π).**

The **Answer to the Question**

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**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.