511,605 views
17 votes
17 votes
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. A person is allowed to park in the school parking lot only if they are a senior and at least seventeen years of age.

b. A person can park in the school parking lot if they are a senior or at least seventeen years of age.

c. Being 17 years of age is a necessary condition for being able to park in the school parking lot.

d. A person can park in the school parking lot if and only if the person is a senior and at least 17 years of age.

e. Being able to park in the school parking lot implies that the person is either a senior or at least 17 years old

User Shanoo
by
3.0k points

1 Answer

22 votes
22 votes

Answer:

a. p = (s ∧ y)

b. p = (s ∨ y)

c. p → y

d. p = (s ∧ y)

e. (p → (s ∨ y))

Step-by-step explanation:

User Evgenii
by
2.8k points