8. Let C(x) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(x) be the statement "x has a horse," let E(x) be the statement "x eats eggs," and let A(x) be the statement " x has allergies to animals." Express each of these statements in terms of C(x),D(x),H(x), E(x),A(x), quantifiers, and logical connectives. Let the domain consist of all people.(5 points each) a) Any person with allergies to animals cannot own dogs, or cats but can eat eggs. b) Nobody owns all three animals, but everyone owns a dog. c) Each type of the three animals is owned by at least one person who eats eggs