3. Let M(x, y) be "x has e-mailed y" and C(x,y) be "x has called y," where the domain consists of all students. Express each of the following sentences as a quantified statement. a. There is a student who has either e-mailed or called every student. b. There is a student who has e-mailed exactly one student. c. There are two different students such that the first student has called the second but the second student has not called the first.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.
Let M(x, y) be “x has e-mailed y" and C(x,y) be “x has called y," where the
domain consists of all students. Express each of the following sentences as a quantified statement.
a. There is a student who has either e-mailed or called every student.
b. There is a student who has e-mailed exactly one student.
c. There are two different students such that the first student has called the second but the
second student has not called the first.
Transcribed Image Text:3. Let M(x, y) be “x has e-mailed y" and C(x,y) be “x has called y," where the domain consists of all students. Express each of the following sentences as a quantified statement. a. There is a student who has either e-mailed or called every student. b. There is a student who has e-mailed exactly one student. c. There are two different students such that the first student has called the second but the second student has not called the first.
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