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Q2E

Expert-verifiedFound in: Page 22

Book edition
7th

Author(s)
Kenneth H. Rosen

Pages
808 pages

ISBN
9780073383095

**You can see the movie only if you are over 18 years old or you have the permission of a parent. Express your answer in terms of m: “You can see the movie,” e: “You are over 18 years old,” and p: “You have the permission of a parent.”**

The **Logical proposition** of the given statement is determined as ${\mathbf{m}}{\mathbf{\to}}{\mathbf{(}}{\mathbf{e}}{\mathbf{\vee}}{\mathbf{p}}{\mathbf{)}}$.

**The statement is made up of conditionals and conjunctions.**

${\mathbf{\vee}}{\mathbf{\to}}{\mathbf{OR}}{\mathbf{\wedge}}{\mathbf{\to}}{\mathbf{AND}}{\mathbf{\to}}{\mathbf{Only}}{\mathbf{}}{\mathbf{IF}}$

Now, from the given statement,

m: You can see the movie.

e: you are over 18 years old

p: you have the permission of a parent

“You are over 18 years old or you have the permission of a parent," the statement reads.

As a result, in **propositional logic**, ${\mathbf{e}}{\mathbf{\vee}}{\mathbf{p}}$

**P if and only if Q is****${\mathbf{P}}{\mathbf{\to}}{\mathbf{Q}}$**

P denotes m, while Q denotes ${\mathbf{e}}{\mathbf{\vee}}{\mathbf{p}}$.

As a result, **the logical proposition statement** is ${\mathbf{m}}{\mathbf{\to}}{\mathbf{(}}{\mathbf{e}}{\mathbf{\vee}}{\mathbf{p}}{\mathbf{)}}$.

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