4. In the following question, the domain of discourse is a set of students who attend a school. Define the following predicates: E(1): z is enrolled in the class. T(1): z took the test. Translate the following English statements into a logical expression with the same meaning: (a) Some student took the test who is not enrolled in the class. (b) The students who took the test are the exact same students who are enrolled in the class. (c) There are an enrolled student and a non-enrolled student who both took the test. (d) Not everyone took the test. (e) There is an enrolled student who did not take the test.
4. In the following question, the domain of discourse is a set of students who attend a school. Define the following predicates: E(1): z is enrolled in the class. T(1): z took the test. Translate the following English statements into a logical expression with the same meaning: (a) Some student took the test who is not enrolled in the class. (b) The students who took the test are the exact same students who are enrolled in the class. (c) There are an enrolled student and a non-enrolled student who both took the test. (d) Not everyone took the test. (e) There is an enrolled student who did not take the test.
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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Transcribed Image Text:4. In the following question, the domain of discourse is a set of students who attend a school. Define
the following predicates:
E(r): r is enrolled in the class.
T(x): z took the test.
Translate the following English statements into a logical expression with the same meaning:
(a) Some student took the test who is not enrolled in the class.
(b) The students who took the test are the exact same students who are enrolled in the class.
(c) There are an enrolled student and a non-enrolled student who both took the test.
(d) Not everyone took the test.
(e) There is an enrolled student who did not take the test.
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