Question

Express each statement in logic using the variables:

p: It is windy.
q: It is cold.
r: It is raining.
It is not true that it is windy or cold

Answer 1

To express the statement 'It is not true that it is windy or cold' in logic using the given variables, it is represented as ¬(p ∨ q), which can also be translated to ¬p ∧ ¬q by applying De Morgan's laws.

Step-by-step explanation:

The statement 'It is not true that it is windy or cold' can be expressed in logic using the given variables (p for windy and q for cold) as follows:

Not (p ∨ q), which can also be written using logical notation as: ¬(p ∨ q)

The logical operator ∨ represents 'or', and ¬ represents 'not'. By applying De Morgan's laws, the negation of a disjunction (not 'or') can be transformed into a conjunction (and) of negations, resulting in: ¬p ∧ ¬q, which means 'It is not windy and it is not cold.'