13. Let P be the statement "The cat is outside," let Q be the statement "The dog is outside," and let R be the statement "It is bright and sunny

today."Translate the following statements into logical syntax. a) The cat and dog are both inside, as it is raining today. b) The cat is outside even though it is raining today. c) At least one pet is outside on this sunny day. d) It is not the case that the dog is outside in the sunshine. The cat and dog are in different locations.