Are the Following Statement Forms Logically Equivalent $p \vee q \rightarrow p$

question 9

Essay

Are the following statement forms logically equivalent: $p \vee q \rightarrow p$ and $p \vee ( \sim p \wedge q ) ?$ Include a truth table and a few words explaining how the truth table supports your answer.

---

Definitions:

Obedience

The act of following orders or commands from those in authority, often studied in psychology.

Authority Figure

An authority figure is a person with recognized power, influence, or expertise in a particular area, often used to guide or govern others.

Zero-sum Game

A situation in which one party's gain is exactly balanced by another party's loss, resulting in a net change of zero.

Forgiveness

The process of letting go of resentment, anger, or vengeance toward someone who has wronged you, often considered a step towards healing and reconciliation.