Question

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.”

Short answer

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

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