Questions: Let p represent the statement "She has green eyes," and let q represent the statement "He is 60 years old." Write the statement ~p ∧ ~q.

Transcript text: Let $p$ represent the statement "She has green eyes," and let $q$ represent the statement "He is 60 years old." Write the statement $\sim p \wedge \sim q$.

Solution

Solution Steps

To write the statement $\sim p \wedge \sim q$ in Python, we need to understand that $\sim p$ represents the negation of $p$ and $\sim q$ represents the negation of $q$. The symbol $\wedge$ represents the logical AND operation. Therefore, $\sim p \wedge \sim q$ means "not p AND not q."

Step 1: Define the Statements

Let $ p $ represent the statement "She has green eyes," and let $ q $ represent the statement "He is 60 years old."

Step 2: Negate the Statements

The negation of $ p $ is $ \neg p $, and the negation of $ q $ is $ \neg q $.

Step 3: Combine the Negations with Logical AND

The statement $ \neg p \wedge \neg q $ means "not $ p $ AND not $ q $."

Step 4: Evaluate the Logical Expression

Given $ p = \text{True} $ and $ q = \text{True} $: