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Use quantifiers to symbolize the following statements. Let the universe be the set of all things,...

Use quantifiers to symbolize the following statements. Let the universe be the set of all things, and use the following propositional functions (all are predicates, not relations): D(x) = x is a dog; M(x) = x is miserable; R(x) = x is ridden with fleas; E(x) = x is exercised; N(x) = x is neglected; W(x) = x is well treated.

  1. Some dogs are miserable if they are ridden with fleas.



  5. Not all miserable dogs are ridden with fleas.



  9. Dogs that are not exercised are neglected and not well treated.



  13. No dog that is well treated is neglected.



  17. Only well treated dogs are not neglected.
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