Question

Define the following propositions:

s: a person is a senior
y: a person is at least 17 years of age
p: a person is allowed to park in the school parking lot
Express each of the following English sentences with a logical expression: A person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age.

Answer 1

To express the sentence 'A person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age' with logical expressions, we can use propositional variables s, y, and p. The logical expression would be p → (s ∧ y).

Step-by-step explanation:

To express the sentence 'A person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age' with logical expressions, we can use propositional variables. Let s represent 'a person is a senior', y represent 'a person is at least 17 years of age', and p represent 'a person is allowed to park in the school parking lot'. The logical expression for the given sentence would be:

p → (s ∧ y)

Here, → represents the conditional operator (only if), ∧ represents the logical operator for conjunction (and). So, the logical expression states that a person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age.