Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all students in your school and the domain for y consists of all classes being given at your school. Express 3xayvz(x = y) ^ (C(x, z) → Cly, z))) by a simple English sentence. There exist two distinct people, the second of whom is enrolled in every course that the first is enrolled in. B) There exist two distinct people enrolled in exactly the same courses. Some student is enrolled simultaneously in two courses. Someone is enrolled in all courses.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all students in your school and the domain
for y consists of all classes being given at your school. Express EXayvz((x = y) ^ (C(x, z) → C(y, z))) by a simple English sentence.
A) There exist two distinct people, the second of whom is enrolled in every course that the first is enrolled in.
В
There exist two distinct people enrolled in exactly the same courses.
c) Some student is enrolled simultaneously in two courses.
D
Someone is enrolled in all courses.
Transcribed Image Text:Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all students in your school and the domain for y consists of all classes being given at your school. Express EXayvz((x = y) ^ (C(x, z) → C(y, z))) by a simple English sentence. A) There exist two distinct people, the second of whom is enrolled in every course that the first is enrolled in. В There exist two distinct people enrolled in exactly the same courses. c) Some student is enrolled simultaneously in two courses. D Someone is enrolled in all courses.
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