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Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express "There is a student in your class who has chatted with everyone in your class over the Internet." A aXvy C(x, y) B axay(x = y ^ vz ¬(C(x, z) ^ C(y, z))) эхзу(х %3D у л Vz(C(x, z) v C(у, z))) (D) 3Xvy(x = y O I(y))

Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express "There is a student in your class who has chatted with everyone in your class over the Internet." A aXvy C(x, y) B axay(x = y ^ vz ¬(C(x, z) ^ C(y, z))) эхзу(х %3D у л Vz(C(x, z) v C(у, z))) (D) 3Xvy(x = y O I(y))

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express "There is a student in your class who has chatted with everyone in your class over the Internet." A aXvy C(x, y) В 3Xay(x = y ^ vz ¬(C(x, z) ^ C(y, z))) эхзу(х %3D у л vz(C(x, z) v C(у, z))) D) aXvy(x = y I(y))
Transcribed Image Text:Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express "There is a student in your class who has chatted with everyone in your class over the Internet." A aXvy C(x, y) В 3Xay(x = y ^ vz ¬(C(x, z) ^ C(y, z))) эхзу(х %3D у л vz(C(x, z) v C(у, z))) D) aXvy(x = y I(y))
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