Question

Let P(x) be the predicate "x is a registered voter."
a. Give a domain for which the quantified statement "∀x P(x)" is true. Explain your an-swer.
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b. Give a domain for which the quantified statement "∀x ¬P(x)" is true. Explain your answer.
c. Give a domain for which neither quantified statement "∀x P(x)" nor "∀x ¬P(x)" is true. (That is, give a domain for which both quantified statements are false.) Explain your answer.
d. Using the domains given above for a-c, for which domains would the quantified statement "∃x ¬P(x)" be true. Explain why or why not for each domain a-c.