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Expert-verified Found in: Page 22 ### Discrete Mathematics and its Applications

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 ${\mathbf{m}}{\mathbf{\to }}{\mathbf{\left(}}{\mathbf{e}}{\mathbf{\vee }}{\mathbf{p}}{\mathbf{\right)}}$.

See the step by step solution

## Introduction to the Concept

The statement is made up of conditionals and conjunctions.

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

## Solution Explanation

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 ${\mathbf{m}}{\mathbf{\to }}{\mathbf{\left(}}{\mathbf{e}}{\mathbf{\vee }}{\mathbf{p}}{\mathbf{\right)}}$. ### Want to see more solutions like these? 