Question

Which of the following represents the compound statement 'Snowy is a cute cat and Snowy has a friend named Goofy' using appropriate symbols?

a) p ∨ q
b) p ∧ q
c) p → q
d) ¬p ∨ ¬q

Answer 1

The statement 'Snowy is a cute cat and Snowy has a friend named Goofy' can be symbolized as 'p ∧ q', which corresponds to option 'b', representing the logical conjunction (AND) in propositional logic.

Step-by-step explanation:

The compound statement 'Snowy is a cute cat and Snowy has a friend named Goofy' can be represented using propositional logic symbols. Let p represent 'Snowy is a cute cat', and let q represent 'Snowy has a friend named Goofy'. The word 'and' in logic is represented by the symbol ∧, which stands for logical conjunction. The entire compound statement can thus be written as p ∧ q, matching with option 'b' out of the given choices.