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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 "Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class." A 3Xvy(x = y O I(y)) В vx((x) —> зу(х %3DУЛ С(х, у)) c) ax(1(x) ^ vy(x = y →¬C(x, 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 "Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class." A 3Xvy(x = y O I(y)) В vx((x) —> зу(х %3DУЛ С(х, у)) c) ax(1(x) ^ vy(x = y →¬C(x, 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 "Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class." A ) aXvy(x = y I(y)) В Vx(I(x) → ay(x = y ^ C(x, y)) 3x(1(x) ^ vy(x = y →¬C(x, y))) D axay(x = y n-C(x, 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 "Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class." A ) aXvy(x = y I(y)) В Vx(I(x) → ay(x = y ^ C(x, y)) 3x(1(x) ^ vy(x = y →¬C(x, y))) D axay(x = y n-C(x, y))
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