a) Let N(x) be the statement "x has visited North Dakota", where the domain consists of the students in your school. Express each of these quantifications in English. i. 3xN(x) 11. VxN(x) -3xN(x) 111. iv. 3x-N(x) V. (x)NXA- b) Let Q(x, y) be the statement "x has sent an e-mail message to y," where the domain for both x and y consists of all students in your class. Express each of these quantifications in English. i. 3xayQ(x, y) 11. 3xVyQ(x, y) 111. VxayQ(x, y) iv. 3YVXQ(x, y) VyaxQ(x, v) VxVyQ(x, v) V. vi. c) Let T(x, y) be the statement "x trusts y," where the domain consists of all people in the world. Use quantifiers to express each of these statements. i. Everybody trusts Bob. Bob trusts somebody. 11. 111. Alice trusts herself. iv. Everyone trusts somebody. Someone trusts everybody. Somebody is trusted by everybody. V. vi.