Question

Let P: It is hot and q: It is cloudy, be true. The statement “It is neither hot nor cloudy” is represented as​

Answer 1

Given:

statements:

p: It is hot.

q: It is cloudy.

To find:

representation =?

Step-by-step explanation:

• Let

         p: It is hot.

         q: It is cloudy.

• Statements p & q are true.
• We have to find the representation of the statement  “It is neither hot nor cloudy” by using the above statements p & q.
• Since neither nor is used here, we use disjunction with negation to show the representation between the statement  “It is neither hot nor cloudy”.
• Hence final answer is given as:

        Statement: It is neither hot nor cloudy.

        Representation: ¬ p ∨ ¬ q