Question

Translate the given statement into propositional logic using proposition provided :

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.”

Answer 1

Answer: m ⇒ e ∨ p

Explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.

• In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

• Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

• Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

• Remove the phrases and you'll have your answer:

m ⇒ e ∨ p