Question: question 1: Let P be the propositional variable You like dogs, let Q be the propositional variable You like cats, and let R be the

question 1: Let P be the propositional variable "You like dogs", let Q be the propositional variable "You like cats", and let R be the propositional variable "You have a pet". Use these propositional variables to write the following propositions using Propositional Logic.

a.You like cats, but not dogs.

b.If you don't like cats, then you like dogs.

c.If you have a pet, then you have to like cats or dogs.

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