Question

Let p be the statement "time is money" and let q be the statement "money is freedom." Represent the statement "neither is time money nor is money freedom" in symbolic form.

a) ∼p ∧ ∼q
b) ∼p ∨ ∼q
c) p ∨ q
d) p ∧ q

Answer 1

The statement "neither is time money nor is money freedom" can be represented in symbolic form as ∼p ∧ ∼q.

Step-by-step explanation:

The statement "neither is time money nor is money freedom" can be represented in symbolic form as option a) ∼p ∧ ∼q.

To understand why option a) ∼p ∧ ∼q represents the statement, let's break it down:

We are given that p represents the statement "time is money" and q represents the statement "money is freedom".

The negation of p is represented as ∼p, which means "time is not money".

The negation of q is represented as ∼q, which means "money is not freedom".

The symbol ∧ represents the logical operator for the word "and".

So, when we combine ∼p (time is not money) with ∼q (money is not freedom) using the logical operator ∧ (and), we get the statement "neither is time money nor is money freedom".