Answer to Question #345602 in Discrete Mathematics for Sasa

Question #345602

Using a Truth table, determine the value of the compound proposition ((𝑝 ∨ π‘ž) ∧ (ᅭ𝑝 ∨ π‘Ÿ)) β†’ (π‘ž ∨ π‘Ÿ).


1
Expert's answer
2022-05-31T09:41:30-0400

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.


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